<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE article PUBLIC "-//NLM//DTD Journal Publishing DTD v2.0 20040830//EN" "http://dtd.nlm.nih.gov/publishing/2.0/journalpublishing.dtd">
<article xmlns:xlink="http://www.w3.org/1999/xlink" article-type="research-article" dtd-version="2.0">
  <front>
    <journal-meta>
      <journal-id journal-id-type="publisher-id">JMIR</journal-id>
      <journal-id journal-id-type="nlm-ta">J Med Internet Res</journal-id>
      <journal-title>Journal of Medical Internet Research</journal-title>
      <issn pub-type="epub">1438-8871</issn>
      <publisher>
        <publisher-name>JMIR Publications</publisher-name>
        <publisher-loc>Toronto, Canada</publisher-loc>
      </publisher>
    </journal-meta>
    <article-meta>
      <article-id pub-id-type="publisher-id">v27i1e66072</article-id>
      <article-id pub-id-type="pmid">39913179</article-id>
      <article-id pub-id-type="doi">10.2196/66072</article-id>
      <article-categories>
        <subj-group subj-group-type="heading">
          <subject>Original Paper</subject>
        </subj-group>
        <subj-group subj-group-type="article-type">
          <subject>Original Paper</subject>
        </subj-group>
      </article-categories>
      <title-group>
        <article-title>Forecasting the Incidence of Mumps Based on the Baidu Index and Environmental Data in Yunnan, China: Deep Learning Model Study</article-title>
      </title-group>
      <contrib-group>
        <contrib contrib-type="editor">
          <name>
            <surname>Schwartz</surname>
            <given-names>Amy</given-names>
          </name>
        </contrib>
      </contrib-group>
      <contrib-group>
        <contrib contrib-type="reviewer">
          <name>
            <surname>Guo</surname>
            <given-names>Rui</given-names>
          </name>
        </contrib>
        <contrib contrib-type="reviewer">
          <name>
            <surname>Zhang</surname>
            <given-names>Ting</given-names>
          </name>
        </contrib>
      </contrib-group>
      <contrib-group>
        <contrib id="contrib1" contrib-type="author" equal-contrib="yes">
          <name name-style="western">
            <surname>Xiong</surname>
            <given-names>Xin</given-names>
          </name>
          <degrees>BS</degrees>
          <xref rid="aff1" ref-type="aff">1</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0009-0003-7099-0927</ext-link>
        </contrib>
        <contrib id="contrib2" contrib-type="author" equal-contrib="yes">
          <name name-style="western">
            <surname>Xiang</surname>
            <given-names>Linghui</given-names>
          </name>
          <degrees>BS</degrees>
          <xref rid="aff1" ref-type="aff">1</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0009-0000-4999-8834</ext-link>
        </contrib>
        <contrib id="contrib3" contrib-type="author">
          <name name-style="western">
            <surname>Chang</surname>
            <given-names>Litao</given-names>
          </name>
          <degrees>BS</degrees>
          <xref rid="aff2" ref-type="aff">2</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0002-8946-5394</ext-link>
        </contrib>
        <contrib id="contrib4" contrib-type="author">
          <name name-style="western">
            <surname>Wu</surname>
            <given-names>Irene XY</given-names>
          </name>
          <degrees>PhD</degrees>
          <xref rid="aff1" ref-type="aff">1</xref>
          <xref rid="aff3" ref-type="aff">3</xref>
          <ext-link ext-link-type="orcid">https://orcid.org/0000-0003-3772-2376</ext-link>
        </contrib>
        <contrib id="contrib5" contrib-type="author" corresp="yes">
          <name name-style="western">
            <surname>Deng</surname>
            <given-names>Shuzhen</given-names>
          </name>
          <degrees>MS</degrees>
          <xref rid="aff2" ref-type="aff">2</xref>
          <address>
            <institution>Department of School Health</institution>
            <institution>Yunnan Provincial Center for Disease Control and Prevention</institution>
            <addr-line>No.1177 Xianghe Street, Luolong Street, Chenggong District</addr-line>
            <addr-line>Kunming, 650500</addr-line>
            <country>China</country>
            <phone>86 15096624164</phone>
            <email>461447164@qq.com</email>
          </address>
          <ext-link ext-link-type="orcid">https://orcid.org/0009-0004-7472-1609</ext-link>
        </contrib>
      </contrib-group>
      <aff id="aff1">
        <label>1</label>
        <institution>Department of Epidemiology and Health Statistics</institution>
        <institution>Xiangya School of Public Health</institution>
        <institution>Central South University</institution>
        <addr-line>Changsha</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff2">
        <label>2</label>
        <institution>Department of School Health</institution>
        <institution>Yunnan Provincial Center for Disease Control and Prevention</institution>
        <addr-line>Kunming</addr-line>
        <country>China</country>
      </aff>
      <aff id="aff3">
        <label>3</label>
        <institution>Hunan Provincial Key Laboratory of Clinical Epidemiology</institution>
        <institution>Central South University</institution>
        <addr-line>Changsha</addr-line>
        <country>China</country>
      </aff>
      <author-notes>
        <corresp>Corresponding Author: Shuzhen Deng <email>461447164@qq.com</email></corresp>
      </author-notes>
      <pub-date pub-type="collection">
        <year>2025</year>
      </pub-date>
      <pub-date pub-type="epub">
        <day>6</day>
        <month>2</month>
        <year>2025</year>
      </pub-date>
      <volume>27</volume>
      <elocation-id>e66072</elocation-id>
      <history>
        <date date-type="received">
          <day>3</day>
          <month>9</month>
          <year>2024</year>
        </date>
        <date date-type="rev-request">
          <day>27</day>
          <month>9</month>
          <year>2024</year>
        </date>
        <date date-type="rev-recd">
          <day>4</day>
          <month>10</month>
          <year>2024</year>
        </date>
        <date date-type="accepted">
          <day>4</day>
          <month>12</month>
          <year>2024</year>
        </date>
      </history>
      <copyright-statement>©Xin Xiong, Linghui Xiang, Litao Chang, Irene XY Wu, Shuzhen Deng. Originally published in the Journal of Medical Internet Research (https://www.jmir.org), 06.02.2025.</copyright-statement>
      <copyright-year>2025</copyright-year>
      <license license-type="open-access" xlink:href="https://creativecommons.org/licenses/by/4.0/">
        <p>This is an open-access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work, first published in the Journal of Medical Internet Research (ISSN 1438-8871), is properly cited. The complete bibliographic information, a link to the original publication on https://www.jmir.org/, as well as this copyright and license information must be included.</p>
      </license>
      <self-uri xlink:href="https://www.jmir.org/2025/1/e66072" xlink:type="simple"/>
      <abstract>
        <sec sec-type="background">
          <title>Background</title>
          <p>Mumps is a viral respiratory disease characterized by facial swelling and transmitted through respiratory secretions. Despite the availability of an effective vaccine, mumps outbreaks have reemerged globally, including in China, where it remains a significant public health issue. In Yunnan province, China, the incidence of mumps has fluctuated markedly and is higher than that in mainland China, underscoring the need for improved outbreak prediction methods. Traditional surveillance methods, however, may not be sufficient for timely and accurate outbreak prediction.</p>
        </sec>
        <sec sec-type="objective">
          <title>Objective</title>
          <p>Our study aims to leverage the Baidu search index, representing search volumes from China’s most popular search engine, along with environmental data to develop a predictive model for mumps incidence in Yunnan province.</p>
        </sec>
        <sec sec-type="methods">
          <title>Methods</title>
          <p>We analyzed mumps incidence in Yunnan Province from 2014 to 2023, and used time series data, including mumps incidence, Baidu search index, and environmental factors, from 2016 to 2023, to develop predictive models based on long short-term memory networks. Feature selection was conducted using Pearson correlation analysis, and lag correlations were explored through a distributed nonlinear lag model (DNLM). We constructed four models with different combinations of predictors: (1) model BE, combining the Baidu index and environmental factors data; (2) model IB, combining mumps incidence and Baidu index data; (3) model IE, combining mumps incidence and environmental factors; and (4) model IBE, integrating all 3 data sources.</p>
        </sec>
        <sec sec-type="results">
          <title>Results</title>
          <p>The incidence of mumps in Yunnan showed significant variability, peaking at 37.5 per 100,000 population in 2019. From 2014 to 2023, the proportion of female patients ranged from 41.3% in 2015 to 45.7% in 2020, consistently lower than that of male patients. After excluding variables with a Pearson correlation coefficient of &#60;0.10 or <italic>P</italic> values of &#60;.05, we included 3 Baidu index search term groups (disease name, symptoms, and treatment) and 6 environmental factors (maximum temperature, minimum temperature, sulfur dioxide, carbon monoxide, particulate matter with a diameter of 2.5 µm or less, and particulate matter with a diameter of 10 µm or less) for model development. DNLM analysis revealed that the relative risks consistently increased with rising Baidu index values, while nonlinear associations between temperature and mumps incidence were observed. Among the 4 models, model IBE exhibited the best performance, achieving the coefficient of determination of 0.72, with mean absolute error, mean absolute percentage error, and root-mean-square error values of 0.33, 15.9%, and 0.43, respectively, in the test set.</p>
        </sec>
        <sec sec-type="conclusions">
          <title>Conclusions</title>
          <p>Our study developed model IBE to predict the incidence of mumps in Yunnan province, offering a potential tool for early detection of mumps outbreaks. The performance of model IBE underscores the potential of integrating search engine data and environmental factors to enhance mumps incidence forecasting. This approach offers a promising tool for improving public health surveillance and enabling rapid responses to mumps outbreaks.</p>
        </sec>
      </abstract>
      <kwd-group>
        <kwd>mumps</kwd>
        <kwd>deep learning</kwd>
        <kwd>baidu index</kwd>
        <kwd>forecasting</kwd>
        <kwd>incidence prediction</kwd>
        <kwd>time series analysis</kwd>
        <kwd>Yunnan</kwd>
        <kwd>China</kwd>
      </kwd-group>
    </article-meta>
  </front>
  <body>
    <sec sec-type="introduction">
      <title>Introduction</title>
      <p>Mumps is an acute respiratory infectious disease caused by the mumps virus, characterized by unilateral or bilateral facial swelling [<xref ref-type="bibr" rid="ref1">1</xref>]. It is transmitted through contact with the respiratory secretions of infected individuals, with an incubation period typically ranging from 16 to 18 days [<xref ref-type="bibr" rid="ref2">2</xref>]. Nonspecific symptoms such as fever, headache, and malaise could occur before the inflammation of the parotid and other salivary glands [<xref ref-type="bibr" rid="ref1">1</xref>,<xref ref-type="bibr" rid="ref2">2</xref>]. While mild symptoms are more common, severe complications such as aseptic meningitis, encephalitis, sensorineural deafness, and orchitis can also develop [<xref ref-type="bibr" rid="ref3">3</xref>,<xref ref-type="bibr" rid="ref4">4</xref>]. Out of 2 doses of the mumps vaccine have shown nearly 90% effectiveness in protecting against mumps [<xref ref-type="bibr" rid="ref5">5</xref>], reducing the global incidence of mumps by 97% [<xref ref-type="bibr" rid="ref6">6</xref>] Until 2019, a total of 122 countries have introduced mumps vaccination [<xref ref-type="bibr" rid="ref7">7</xref>], and the number reached to 124 Member States by the end of 2023 [<xref ref-type="bibr" rid="ref8">8</xref>]. However, in recent years, mumps outbreaks have reemerged in many countries, even those with high vaccine coverage, such as the United States [<xref ref-type="bibr" rid="ref9">9</xref>], the United Kingdom [<xref ref-type="bibr" rid="ref10">10</xref>], and Ireland [<xref ref-type="bibr" rid="ref11">11</xref>], which may have many potential reasons, but the waning immunity may contribute majorly [<xref ref-type="bibr" rid="ref12">12</xref>].</p>
      <p>In China, mumps is classified as a Class C notifiable infectious disease. Despite being vaccine-preventable, mumps remained the most prevalent disease among the 44 notifiable infectious diseases from 2008 to 2017 in persons aged 6 to 22 years, with incidences of 83.207 per 100,000 population in 2008 and 69.771 per 100,000 population in 2017 [<xref ref-type="bibr" rid="ref13">13</xref>]. Similar to the global condition, even after mumps was included in the expanded immunization program in mainland China in 2008, an abnormal increase in incidence was observed after the program [<xref ref-type="bibr" rid="ref13">13</xref>,<xref ref-type="bibr" rid="ref14">14</xref>]. Although no exact reason, waning immunity, changing environment, high population mobility, along with misinformation about the vaccination may play roles [<xref ref-type="bibr" rid="ref7">7</xref>,<xref ref-type="bibr" rid="ref15">15</xref>,<xref ref-type="bibr" rid="ref16">16</xref>]. After the onset of the COVID-19 pandemic, the incidence of mumps in mainland China was 7.37 and 6.48 per 100,000 population in 2022 and 2023, ranking fourth and fifth among Class C notifiable infectious diseases, respectively [<xref ref-type="bibr" rid="ref17">17</xref>,<xref ref-type="bibr" rid="ref18">18</xref>]. These trends highlight the continued public health challenge posed by mumps in China.</p>
      <p>Yunnan, a province located in southwestern China, has experienced marked variability in mumps incidence. The average annual percentage change in incidence was 13.97% from 2004 to 2018, ranking third, just slightly lower than that of Hunan (15.15%) and Hainan (15.10%) provinces [<xref ref-type="bibr" rid="ref19">19</xref>]. Furthermore, the mumps incidence in 2022 and 2023 was 14.2 and 12.8 per 100,000 population, respectively, both of which were notably higher than the national averages. These sharp fluctuations in the incidence of mumps, along with relatively higher incidence presented challenges in predicting mumps outbreaks, particularly given the lag of traditional surveillance system, which rely on case reports from medical and health institutions.</p>
      <p>Several studies have developed prediction models for the incidence of mumps in China [<xref ref-type="bibr" rid="ref20">20</xref>,<xref ref-type="bibr" rid="ref21">21</xref>]. However, due to regional variations of mumps incidence, these models might not be suitable for Yunnan province. In addition, these studies only used mumps incidence, environmental factors data or both as predictors, which may not be able to explain the nonseasonal fluctuations. Incorporating alternative predictors, such as search engine query data, may improve the timeliness and accuracy of outbreak predictions. Previous studies have identified search engine data, such as that from Twitter [rename as X], Google, and Baidu, along with environmental factors, as effective predictors of certain infectious diseases such as influenza and chicken pox, due to their lower cost and higher timeliness [<xref ref-type="bibr" rid="ref22">22</xref>-<xref ref-type="bibr" rid="ref24">24</xref>]. Baidu, the most popular search engine in China, provides a rich source of real-time data that can be leveraged for predictive purposes. Long short-term memory (LSTM) networks, introduced by Hochreiter and Schmidhuber [<xref ref-type="bibr" rid="ref25">25</xref>] in 1997, are a specialized type of recurrent neural network designed to capture long-term dependencies in sequential data by mitigating the vanishing and exploding gradient problems [<xref ref-type="bibr" rid="ref25">25</xref>]. These networks have shown exceptional performance in capturing temporal dependencies in larger horizons [<xref ref-type="bibr" rid="ref26">26</xref>]. Therefore, our study aims to use multisource data to develop a prediction model of mumps incidence in Yunnan province based on LSTM.</p>
    </sec>
    <sec sec-type="methods">
      <title>Methods</title>
      <sec>
        <title>Data Sources</title>
        <p>Our study used a total of 3 time series data about Yunnan province, including the incidence of mumps, the Baidu index [<xref ref-type="bibr" rid="ref27">27</xref>], and environmental factors.</p>
        <p>We obtained the daily number of mumps cases with their age, sex, and careers, and the annual population data from the Yunnan Center for Disease Control and Prevention, which collected accurate case characteristics from the Chinese information system for infectious diseases control and prevention, for the period between January 1, 2014, and December 31, 2023. From the system, we collected a total of 20 career types in our study, reporting the number of patients of the top 6 most common ones while grouping the remaining careers under the category “other careers.” In addition, since more than 80% of patients were younger than 20 years, we organized the age distribution into 5-year groups for those younger than 20 years, while others were presented as a separate category. The Baidu index [<xref ref-type="bibr" rid="ref27">27</xref>] is the weighted sum of the search frequencies of various search terms by scientifically analyzing and calculating based on users’ search volumes on Baidu, which is the most popular search engine in China. By extensive search, we initially collected daily Baidu index for 30 search terms in Yunnan from January 1, 2016, and December 31, 2023. After group discussion, we excluded 3 search terms due to irrelevance and another 3 because they were introduced after 2016, resulting in incomplete data (Table S1 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>). Ultimately, we included 24 search terms in our study.</p>
        <p>We collected information about environmental factors during January 1, 2016, and December 31, 2023, from China Meteorological Administration [<xref ref-type="bibr" rid="ref28">28</xref>], including maximum temperature (°C), minimum temperature (°C), air quality index, particulate matter (PM) with an aerodynamic diameter less than or equal to 2.5 μm (PM<sub>2.5</sub>; measured as μg/m<sup>3</sup>), PM with an aerodynamic diameter less than or equal to 10 μm (PM<sub>10</sub>; measured as μg/m<sup>3</sup>), sulfur dioxide (SO<sub>2</sub>; measured as μg/m<sup>3</sup>), nitrogen dioxide (NO<sub>2</sub>; measured as μg/m<sup>3</sup>), carbon monoxide (CO; measured as mg/m<sup>3</sup>), and ozone (O<sub>3</sub>; measured as μg/m<sup>3</sup>).</p>
      </sec>
      <sec>
        <title>Statistical Analysis</title>
        <sec>
          <title>Feature Selection and Descriptive Analysis</title>
          <p>To predict the weekly incidence of mumps, we calculated the weekly values for each variable. The weekly mumps incidence and Baidu index [<xref ref-type="bibr" rid="ref27">27</xref>] were obtained by summing their daily values, while the weekly environmental factors were calculated as the mean values for each week. We performed Pearson correlation tests to determine the correlation between each variable and the incidence of mumps. After excluding variables with a Pearson correlation coefficient (PCC) of &#60;0.10 or a <italic>P</italic> value of &#60;.05, we consequently included 16 search terms and 6 environmental factors (Table S2 in <xref ref-type="supplementary-material" rid="app1">Multimedia Appendix 1</xref>). These search terms were classified into 3 groups based on their content: disease name, symptoms, and treatment. We then calculated the weekly sum of the Baidu index for these 3 groups as the predictors.</p>
          <p>Our study used the Kolmogorov-Smirnov test to inspect the normality of continuous variables. Normally distributed continuous variables were described as mean and SD, while nonnormally distributed continuous variables are described as median and IQR.</p>
        </sec>
        <sec>
          <title>Log Correlation Analysis</title>
          <p>Previous studies have demonstrated that environmental factors and the Baidu index [<xref ref-type="bibr" rid="ref27">27</xref>] had a lag impact on the incidence of infectious disease, which means exposure affects health for a period of days [<xref ref-type="bibr" rid="ref22">22</xref>,<xref ref-type="bibr" rid="ref29">29</xref>]. To capture these complex relationships, we used the distributed lag nonlinear model (DLNM). DLNM is a modeling framework that simultaneously represents nonlinear exposure-response relationships and lagged effects using cross-basis functions [<xref ref-type="bibr" rid="ref30">30</xref>]. We used natural spline functions for both the exposure-response and lag-response components, allowing for flexible modeling of nonlinear associations. We selected DLNM over other nonlinear methods, such as generalized additive models, because DLNM is specifically tailored to handle both nonlinear and lagged effects, which is crucial for understanding the temporal dynamics of environmental influences on mumps incidence. Our study used R package DLNM (version 2.4.7) to make DLNM between the Baidu index [<xref ref-type="bibr" rid="ref27">27</xref>] and environmental factors and mumps incidence [<xref ref-type="bibr" rid="ref31">31</xref>].</p>
          <graphic xlink:href="jmir_v27i1e66072_fig6.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
          <p>Yt represents the outcome value (mumps incidence) at week t while E[Yt] is its expected value. α refers to the interception term. p refers to the maximum lag time, which was 3 weeks in our study considering the incubation and previous study [<xref ref-type="bibr" rid="ref32">32</xref>]. βi the regression coefficient for the i-th lag time, representing the effect size of the exposure variable at lag i on the outcome variable. cb(Xt - i, argvar, arglag) is a cross-basis function used to capture the nonlinear relationship between the exposure variable Xt-i and the lag time. This function depends on 3 parameters: Xt-i represents the value of the exposure variable at time t-i, argvar were parameters defining the effect of the exposure variable, and arglag were parameters defining the lag effect. Relative risks (RR) were used to assess the effect of a specific exposure level at one lag time compared with the reference exposure value.</p>
        </sec>
        <sec>
          <title>Model Construction and Performance Evaluation</title>
          <p>Our study developed 4 models based on LSTM to predict mumps incidence 1 week in advance (<xref rid="figure1" ref-type="fig">Figure 1</xref>). First, to better capture the characteristics of the 3 time series data, we constructed 3 primary LSTM models for each data set. The primary model for mumps incidence included a dropout layer to prevent overfitting, followed by 2 LSTM layers and a dense layer. The Baidu index [<xref ref-type="bibr" rid="ref27">27</xref>] and environmental factors models each consisted of 2 LSTM layers followed by a dense layer. Among the 3 models, we used data from the previous 2 weeks to predict the incidence of mumps one week in advance. Subsequently, we concatenated the outputs of these primary models to construct composite models. Model IB combined the mumps incidence and Baidu index outputs, model IE combined the mumps incidence and environmental factors outputs, model BE combined the Baidu index [<xref ref-type="bibr" rid="ref27">27</xref>] and environmental factors outputs, and model IBE combined the outputs from all 3 primary models. Each composite model then passed the concatenated outputs through an additional dense layer to produce the final prediction. This approach ensured that primary models effectively integrated information from different data sources for accurate predictions. To simulate real-world scenarios where future data are unknown and must be predicted based on past observations, we divided our data sets into train, validation and test set based on time. The train set interval was from January 1, 2016, to December 31, 2021. Data from January 1, 2022, to December 31, 2022, and those from January 1, 2023, to December 31, 2023, were used as the validation and test sets, respectively. These models were constructed by keras3 package [ONEIROS] (version 1.0.0), tensorflow package [Google Brain Team] (version 2.16.0) in R (version 4.4.1; R Core Team).</p>
          <fig id="figure1" position="float">
            <label>Figure 1</label>
            <caption>
              <p>Model constructions. LSTM: Long short-term memory. Model BE: model including Baidu index and environmental factors; Model IB: model including mumps incidence and Baidu index; Model IE: model including mumps incidence and environmental factors; Model IBE: model including mumps incidence and Baidu index and environmental factors.</p>
            </caption>
            <graphic xlink:href="jmir_v27i1e66072_fig1.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
          </fig>
          <p>Out of 4 performance metrics were applied to evaluate these 4 models: coefficient of determination (<italic>R</italic><sup>2</sup>), mean absolute error (MAE), mean absolute percentage error (MAPE), and root-mean-square error (RMSE). <italic>R</italic><sup>2</sup> refers to the proportion of the variance for a dependent variable that is explained by the model, with values less than 1, where larger values indicate better performance. MAE, MAPE, and RMSE measure the errors between predictions and actual values, with MAE and RMSE ranging greater than 0, and MAPE ranging from 0 to 100%, where lower values indicate better model accuracy. Compared with the MAE, MAPE represents the average of absolute percentage errors expressed as a percentage, making it more suitable for comparison across different data sets and models, while RMSE is more sensitive to outliers and larger errors.</p>
          <graphic xlink:href="jmir_v27i1e66072_fig7.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
          <graphic xlink:href="jmir_v27i1e66072_fig8.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
          <graphic xlink:href="jmir_v27i1e66072_fig9.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
          <graphic xlink:href="jmir_v27i1e66072_fig10.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
          <p>In these equations, n was the number of observations, while <italic>y<sub>i</sub></italic> and <italic>y<sub>i</sub></italic> refer to the actual incidence of mumps in the <italic>i<sub>th</sub></italic> week and its prediction, respectively.</p>
        </sec>
      </sec>
      <sec>
        <title>Ethical Considerations</title>
        <p>Our research was approved by the Medical Ethics Committee, Xiangya School of Public Health, Central South University, Changsha, China (XYGW-2024-65). Informed consent was waived by our institutional review board because all data were fully anonymized before being accessed by the researchers, ensuring that no identifiable information about individuals was available. Therefore, compensation is not applicable in our study.</p>
      </sec>
    </sec>
    <sec sec-type="results">
      <title>Results</title>
      <sec>
        <title>The Temporal Distribution of Mumps Incidence and Predictors</title>
        <p>In Yunnan Province, the incidence of mumps increased from 10.9 per 100,000 population in 2014, peaked at 37.5 per 100,000 population in 2019, and then steadily decreased to 12.8 per 100,000 population by 2023 (<xref rid="figure2" ref-type="fig">Figure 2</xref>). The outbreaks of mumps occurred from 2017 to 2020 in different cities in Yunnan. From 2014 to 2023, the proportion of female patients remained fairly stable, ranging from 41.3% in 2015 to 45.7% in 2020. (<xref ref-type="table" rid="table1">Table 1</xref>). The median age of patients showed some fluctuations over the years, starting at 7 years (IQR 4-12) in 2014, peaking at 11 years (IQR 7-14) in 2019, and then decreasing to 6 years (IQR 4-10) by 2023. The proportion of cases in children between 5 and 10 years old remained substantial, with the highest proportion recorded in 2023 (43.7%). Students consistently represented the largest affected group, comprising 44.3% to 67.5% of cases in 2014 and 2019, respectively.</p>
        <fig id="figure2" position="float">
          <label>Figure 2</label>
          <caption>
            <p>Annual incidence of mumps (per 100,000 population) in Yunnan province from 2014 to 2023.</p>
          </caption>
          <graphic xlink:href="jmir_v27i1e66072_fig2.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
        <table-wrap position="float" id="table1">
          <label>Table 1</label>
          <caption>
            <p>Characteristics of reported mumps patients in Yunnan from 2014 to 2023.</p>
          </caption>
          <table width="1000" cellpadding="5" cellspacing="0" border="1" rules="groups" frame="hsides">
            <col width="30"/>
            <col width="170"/>
            <col width="80"/>
            <col width="80"/>
            <col width="80"/>
            <col width="80"/>
            <col width="80"/>
            <col width="80"/>
            <col width="80"/>
            <col width="80"/>
            <col width="80"/>
            <col width="80"/>
            <thead>
              <tr valign="top">
                <td colspan="2">
                  <break/>
                </td>
                <td>2014 (N=5343)</td>
                <td>2015 (N=5611)</td>
                <td>2016 (N=5850)</td>
                <td>2017 (N=6843)</td>
                <td>2018 (N=11,249)</td>
                <td>2019 (N=18,703)</td>
                <td>2020 (N=8592)</td>
                <td>2021 (N=7296)</td>
                <td>2022 (N=6788)</td>
                <td>2023 (N=6085)</td>
              </tr>
            </thead>
            <tbody>
              <tr valign="top">
                <td colspan="2">Female</td>
                <td>2290 (42.9)</td>
                <td>2320 (41.3)</td>
                <td>2484 (42.5)</td>
                <td>2927 (42.8)</td>
                <td>4961 (44.1)</td>
                <td>8214 (43.9)</td>
                <td>3929 (45.7)</td>
                <td>3250 (44.5)</td>
                <td>2929 (43.1)</td>
                <td>2599 (42.7)</td>
              </tr>
              <tr valign="top">
                <td colspan="2">Age (years), median (IQR)</td>
                <td>7 (4-12)</td>
                <td>8 (5-11)</td>
                <td>8 (5-12)</td>
                <td>9 (5-13)</td>
                <td>10 (6-14)</td>
                <td>11 (7-14)</td>
                <td>8 (5-14)</td>
                <td>6 (4-11)</td>
                <td>6 (4-11)</td>
                <td>6 (4-10)</td>
              </tr>
              <tr valign="top">
                <td colspan="12">
                  <bold>Age groups (years), n (%)</bold>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>&#60;5</td>
                <td>1389 (26)</td>
                <td>1387 (24.7)</td>
                <td>1456 (24.9)</td>
                <td>1329 (19.4)</td>
                <td>1679 (14.9)</td>
                <td>2266 (12.1)</td>
                <td>2051 (23.9)</td>
                <td>2183 (29.9)</td>
                <td>1940 (28.6)</td>
                <td>1700 (27.9)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>5 to &#60;10</td>
                <td>2082 (39)</td>
                <td>2224 (39.6)</td>
                <td>2300 (39.3)</td>
                <td>2484 (36.3)</td>
                <td>3492 (31)</td>
                <td>5236 (28.0)</td>
                <td>2801 (32.6)</td>
                <td>2828 (38.8)</td>
                <td>2873 (42.3)</td>
                <td>2661 (43.7)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td> 10 to &#60;15</td>
                <td>1007 (18.8)</td>
                <td>1105 (19.7)</td>
                <td>1074 (18.4)</td>
                <td>1807 (26.4)</td>
                <td>3786 (33.7)</td>
                <td>7019 (37.5)</td>
                <td>1618 (18.8)</td>
                <td>944 (12.9)</td>
                <td>850 (12.5)</td>
                <td>715 (11.8)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>15 to &#60;20</td>
                <td>162 (3)</td>
                <td>200 (3.6)</td>
                <td>210 (3.6)</td>
                <td>308 (4.5)</td>
                <td>1098 (9.8)</td>
                <td>2272 (12.1)</td>
                <td>679 (7.9)</td>
                <td>289 (4.0)</td>
                <td>201 (3.0)</td>
                <td>152 (2.5)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>≥20</td>
                <td>703 (13.2)</td>
                <td>695 (12.4)</td>
                <td>810 (13.8)</td>
                <td>915 (13.4)</td>
                <td>1194 (10.6)</td>
                <td>1910 (10.2)</td>
                <td>1443 (16.8)</td>
                <td>1052 (14.4)</td>
                <td>924 (13.6)</td>
                <td>857 (14.1)</td>
              </tr>
              <tr valign="top">
                <td colspan="12">
                  <bold>Careers, n (%)</bold>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Student</td>
                <td>2368 (44.3)</td>
                <td>2608 (46.5)</td>
                <td>2654 (45.4)</td>
                <td>3627 (53)</td>
                <td>7027 (62.5)</td>
                <td>12618 (67.5)</td>
                <td>3912 (45.5)</td>
                <td>2794 (38.3)</td>
                <td>2571 (37.9)</td>
                <td>2269 (37.3)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Diaspora children</td>
                <td>1246 (23.3)</td>
                <td>1229 (21.9)</td>
                <td>1073 (18.3)</td>
                <td>1001 (14.6)</td>
                <td>1169 (10.4)</td>
                <td>1660 (8.9)</td>
                <td>1259 (14.7)</td>
                <td>1059 (14.5)</td>
                <td>972 (14.3)</td>
                <td>796 (13.1)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Nursery children</td>
                <td>992 (18.6)</td>
                <td>1041 (18.6)</td>
                <td>1271 (21.7)</td>
                <td>1267 (18.5)</td>
                <td>1798 (16.0)</td>
                <td>2302 (12.3)</td>
                <td>1961 (22.8)</td>
                <td>2398 (32.9)</td>
                <td>2326 (34.3)</td>
                <td>2163 (35.5)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Peasant</td>
                <td>519 (9.7)</td>
                <td>539 (9.6)</td>
                <td>614 (10.5)</td>
                <td>670 (9.8)</td>
                <td>926 (8.2)</td>
                <td>1546 (8.3)</td>
                <td>1100 (12.8)</td>
                <td>761 (10.4)</td>
                <td>666 (9.8)</td>
                <td>616 (10.1)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Unemployment</td>
                <td>33 (0.6)</td>
                <td>33 (0.6)</td>
                <td>45 (0.8)</td>
                <td>48 (0.7)</td>
                <td>57 (0.5)</td>
                <td>101 (0.5)</td>
                <td>62 (0.7)</td>
                <td>55 (0.8)</td>
                <td>61 (0.9)</td>
                <td>68 (1.1)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Teacher</td>
                <td>17 (0.3)</td>
                <td>20 (0.4)</td>
                <td>24 (0.4)</td>
                <td>29 (0.4)</td>
                <td>56 (0.5)</td>
                <td>100 (0.5)</td>
                <td>62 (0.7)</td>
                <td>32 (0.4)</td>
                <td>30 (0.4)</td>
                <td>19 (0.3)</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Other careers</td>
                <td>168 (3.1)</td>
                <td>141 (2.5)</td>
                <td>169 (2.9)</td>
                <td>201 (2.9)</td>
                <td>216 (1.9)</td>
                <td>376 (2)</td>
                <td>236 (2.7)</td>
                <td>197 (2.7)</td>
                <td>162 (2.4)</td>
                <td>154 (2.5)</td>
              </tr>
            </tbody>
          </table>
        </table-wrap>
        <p>The temporal distribution from 2016 to 2023 revealed distinct trends in both the Baidu search index and environmental factors (<xref rid="figure3" ref-type="fig">Figure 3</xref>). The distribution of the 3 Baidu index mirrored the pattern observed in mumps incidence, with a peak in 2019 and followed by a decline. Most environmental factors except SO₂ displayed obvious seasonal cycles. Maximum and minimum temperatures reached peaks in summer, while air pollutants, including CO, PM<sub>2.5,</sub> and PM<sub>10</sub>, had higher concentrations in winter. In addition, SO₂ and CO showed a long-term decreasing trend over the 10-year period.</p>
        <fig id="figure3" position="float">
          <label>Figure 3</label>
          <caption>
            <p>The temporal distribution of weekly Baidu index and environmental factors in Yunnan Province from 2016 to 2023 CO: carbon monoxide; SO2: sulfur dioxide; PM: particulate matter; PM2.5: particulate matter with a diameter of 2.5 µm or less; PM10: particulate matter with a diameter of 10 µm or less.</p>
          </caption>
          <graphic xlink:href="jmir_v27i1e66072_fig3.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
      </sec>
      <sec>
        <title>Correlation Between Predictors and Incidence of Mumps</title>
        <p>The Pearson correlation analysis reveals that 3 Baidu search terms, disease name (r=0.67), symptom (r=0.66), and treatment (r=0.53), show strong positive correlations with mumps incidence in Yunnan Province from 2016 to 2023 (<xref ref-type="table" rid="table2">Table 2</xref>). Among environmental factors, both minimum (r=0.17) and maximum temperature (r=0.16) have weak positive correlations, while pollutants including SO₂ (r=–0.16), CO (r=–0.12), PM<sub>2.5</sub> (r=–0.20) and PM<sub>10</sub> (r=–0.10) show weak negative correlations with mumps incidence.</p>
        <table-wrap position="float" id="table2">
          <label>Table 2</label>
          <caption>
            <p>Distribution of predictors and Pearson correlation coefficient between weekly predictors and mumps incidence in Yunnan province from 2016 to 2023.</p>
          </caption>
          <table width="1000" cellpadding="5" cellspacing="0" border="1" rules="groups" frame="hsides">
            <col width="30"/>
            <col width="420"/>
            <col width="0"/>
            <col width="230"/>
            <col width="0"/>
            <col width="150"/>
            <col width="0"/>
            <col width="100"/>
            <col width="0"/>
            <col width="70"/>
            <thead>
              <tr valign="top">
                <td colspan="2">Predictors</td>
                <td colspan="3">Baidu search terms in Chinese</td>
                <td colspan="2">Median (IQR)</td>
                <td colspan="2">PCC<sup>a</sup></td>
                <td><italic>P</italic> value</td>
              </tr>
            </thead>
            <tbody>
              <tr valign="top">
                <td colspan="10">
                  <bold>Baidu search terms</bold>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Disease name</td>
                <td colspan="3">—</td>
                <td colspan="2">2394 (2053-2697)</td>
                <td colspan="2">0.67</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Mumps</td>
                <td colspan="3">流行性腮腺炎</td>
                <td colspan="2">560 (457-655)</td>
                <td colspan="2">0.42</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Parotitis</td>
                <td colspan="3">腮腺炎</td>
                <td colspan="2">1397 (1225-1564)</td>
                <td colspan="2">0.76</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Zha sai (a colloquial name for mumps in Chinese)</td>
                <td colspan="3">痄腮</td>
                <td colspan="2">301 (174-418)</td>
                <td colspan="2">0.36</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>San xian yan (a term phonetically like “parotitis” in Chinese)</td>
                <td colspan="3">三线炎</td>
                <td colspan="2">114 (57-172)</td>
                <td colspan="2">0.39</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Symptom</td>
                <td colspan="3">—</td>
                <td colspan="2">2360 (1928-2821)</td>
                <td colspan="2">0.66</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Jaw pain</td>
                <td colspan="3">下巴疼</td>
                <td colspan="2">114 (57-174)</td>
                <td colspan="2">0.38</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Swelling on one side of the face</td>
                <td colspan="3">半边脸肿</td>
                <td colspan="2">0 (0-57)</td>
                <td colspan="2">0.23</td>
                <td> &#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Pain at the base of the ear</td>
                <td colspan="3">耳根痛</td>
                <td colspan="2">0 (0-0)</td>
                <td colspan="2">0.16</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Facial swelling</td>
                <td colspan="3">脸肿</td>
                <td colspan="2">440 (348-524)</td>
                <td colspan="2">0.39</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Complications of parotitis</td>
                <td colspan="3">腮腺炎并发症</td>
                <td colspan="2">0 (0-57)</td>
                <td colspan="2">0.24</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Early symptoms of parotitis</td>
                <td colspan="3">腮腺炎的早期症状</td>
                <td colspan="2">115 (57-294)</td>
                <td colspan="2">0.26</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Symptoms of parotitis + parotitis symptoms</td>
                <td colspan="3">腮腺炎的症状+腮腺炎症状</td>
                <td colspan="2">1315 (876-1560)</td>
                <td colspan="2">0.33</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Parotitis with orchitis</td>
                <td colspan="3">腮腺炎睾丸炎</td>
                <td colspan="2">0 (0-0)</td>
                <td colspan="2">0.13</td>
                <td>.01</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Is parotitis contagious?</td>
                <td colspan="3">腮腺炎传染吗</td>
                <td colspan="2">436 (172-508)</td>
                <td colspan="2">0.48</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Treatment</td>
                <td colspan="3">—</td>
                <td colspan="2">860 (729-1000)</td>
                <td colspan="2">0.53</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>What medicine to take for parotitis</td>
                <td colspan="3">腮腺炎吃什么药</td>
                <td colspan="2">464 (441-506)</td>
                <td colspan="2">0.30</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>How to treat parotitis</td>
                <td colspan="3">腮腺炎怎么治疗</td>
                <td colspan="2">300 (233-405)</td>
                <td colspan="2">0.54</td>
                <td>&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>Treatment of parotitis</td>
                <td colspan="3">腮腺炎的治疗</td>
                <td colspan="2">57 (0-115)</td>
                <td colspan="2">0.13</td>
                <td>.007</td>
              </tr>
              <tr valign="top">
                <td colspan="10">
                  <bold>Environmental factors</bold>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td colspan="2">Maximum temperature, °C</td>
                <td>—</td>
                <td colspan="2">24 (20.2-26.3)</td>
                <td colspan="2">0.16</td>
                <td colspan="2">&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td colspan="2">Minimum temperature, °C</td>
                <td>—</td>
                <td colspan="2">12.8 (7.6-17.2)</td>
                <td colspan="2">0.17</td>
                <td colspan="2">&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td colspan="2">SO<sup>b</sup><sub>2</sub> (μg/m<sup>3</sup>)</td>
                <td>—</td>
                <td colspan="2">8.2 (7.4-10.6)</td>
                <td colspan="2">–0.20</td>
                <td colspan="2">&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td colspan="2">CO<sup>c</sup> (mg/m<sup>3</sup>)</td>
                <td>—</td>
                <td colspan="2">0.7 (0.6-0.8)</td>
                <td colspan="2">–0.12</td>
                <td colspan="2">.02</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td colspan="2">PM<sup>d</sup><sub>2.5</sub> (μg/m<sup>3</sup>)</td>
                <td>—</td>
                <td colspan="2">19.5 (13.8-27.4)</td>
                <td colspan="2">–0.20</td>
                <td colspan="2">&#60;.001</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td colspan="2">PM<sub>10</sub> (μg/m<sup>3</sup>)</td>
                <td>
                  <break/>
                </td>
                <td colspan="2">34.3 (25.5-46.0)</td>
                <td colspan="2">–0.10</td>
                <td colspan="2"> .04</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn id="table2fn1">
              <p><sup>a</sup>PCC: Pearson correlation coefficient.</p>
            </fn>
            <fn id="table2fn2">
              <p><sup>b</sup>SO: sulfur dioxide.</p>
            </fn>
            <fn id="table2fn3">
              <p><sup>c</sup>CO: carbon monoxide.</p>
            </fn>
            <fn id="table2fn4">
              <p><sup>d</sup>PM: particulate matter.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <p>Considering the potential lag impact of these predictors on mumps incidence, we leveraged DLNM to explore their short-term impacts (<xref rid="figure4" ref-type="fig">Figure 4</xref>). The impact of various predictors on the incidence of mumps varies across different lag weeks. For 3 Baidu search terms, the RR consistently increases with the rising Baidu index. The analysis also revealed nonlinear associations between temperatures and incidence, with minimum temperature showing a U-shaped curve and maximum temperature exhibiting a complex pattern. In addition, elevated levels of SO<sub>2</sub>, CO, PM<sub>2.5</sub>, and PM<sub>10</sub> generally corresponded with decreases in RR at a 1-week lag.</p>
        <fig id="figure4" position="float">
          <label>Figure 4</label>
          <caption>
            <p>Relative risks for mumps incidence by predictors and lags using distributed lag nonlinear models in Yunnan province from 2016 to 2023, with references at median of each predictor.</p>
          </caption>
          <graphic xlink:href="jmir_v27i1e66072_fig4.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
      </sec>
      <sec>
        <title>Model Performances and Comparisons</title>
        <p><xref ref-type="table" rid="table3">Table 3</xref> shows the comparisons of the performance metrics of 4 models with different combinations of predictors. Model IBE, which includes all 3 predictors, consistently outperformed the other models in both the train and validation set, as well as the test set. Specifically, model IBE achieved the highest <italic>R</italic>² values (0.89 in the train and validation set, 0.72 in the test set) and the lowest error metrics, with an MAE of 0.51, MAPE of 15.2%, and RMSE of 0.74 in the train and validation set, and an MAE of 0.33, MAPE of 15.9%, and RMSE of 0.43 in the test set. In comparison, the IE model (<italic>R</italic>²=0.54, MAE=0.45, MAPE=28.2%, and RMSE=0.55) and the IB model (<italic>R</italic>²=0.49, MAE=0.45, MAPE=29.2%, and RMSE=0.58) showed similar levels of prediction accuracy in the test set, both outperforming model BE, which had the worst performance (<italic>R</italic>²=0.33, MAE=0.54, MAPE=32.0%, and RMSE=0.66). The actual values and model predictions of the weekly incidence of mumps are presented in <xref rid="figure5" ref-type="fig">Figure 5</xref>.</p>
        <table-wrap position="float" id="table3">
          <label>Table 3</label>
          <caption>
            <p>Performance metrics of different models.</p>
          </caption>
          <table width="1000" cellpadding="5" cellspacing="0" border="1" rules="groups" frame="hsides">
            <col width="30"/>
            <col width="210"/>
            <col width="190"/>
            <col width="190"/>
            <col width="190"/>
            <col width="190"/>
            <thead>
              <tr valign="top">
                <td colspan="2">
                  <break/>
                </td>
                <td>Model BE<sup>a</sup></td>
                <td>Model IE<sup>b</sup></td>
                <td>Model IB<sup>c</sup></td>
                <td>Model IBE<sup>d</sup></td>
              </tr>
            </thead>
            <tbody>
              <tr valign="top">
                <td colspan="6">
                  <bold>Train and validation set</bold>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>
                  <italic>R</italic>
                  <sup>2</sup>
                </td>
                <td>0.80</td>
                <td>0.84</td>
                <td>0.84</td>
                <td>0.89</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>MAE<sup>e</sup></td>
                <td>0.69</td>
                <td>0.59</td>
                <td>0.65</td>
                <td>0.51</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>MAPE<sup>f</sup> (%)</td>
                <td>21.2</td>
                <td>17.1</td>
                <td>21.6</td>
                <td>15.2</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>RMSE<sup>g</sup></td>
                <td>0.97</td>
                <td>0.87</td>
                <td>0.88</td>
                <td> 0.74</td>
              </tr>
              <tr valign="top">
                <td colspan="6">
                  <bold>Test set</bold>
                </td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>
                  <italic>R</italic>
                  <sup>2</sup>
                </td>
                <td>0.33</td>
                <td>0.54</td>
                <td>0.49</td>
                <td>0.72</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>MAE</td>
                <td>0.54</td>
                <td>0.45</td>
                <td>0.45</td>
                <td>0.33</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>MAPE (%)</td>
                <td>32.0</td>
                <td>28.2</td>
                <td>29.2</td>
                <td>15.9</td>
              </tr>
              <tr valign="top">
                <td>
                  <break/>
                </td>
                <td>RMSE</td>
                <td>0.66</td>
                <td>0.55</td>
                <td>0.58</td>
                <td>0.43</td>
              </tr>
            </tbody>
          </table>
          <table-wrap-foot>
            <fn id="table3fn1">
              <p><sup>a</sup>Model BE: the model included Baidu index and environmental factors.</p>
            </fn>
            <fn id="table3fn2">
              <p><sup>b</sup>Model IB: the model included mumps incidence and Baidu index.</p>
            </fn>
            <fn id="table3fn3">
              <p><sup>c</sup>Model IE: the model included mumps incidence and environmental factors.</p>
            </fn>
            <fn id="table3fn4">
              <p><sup>d</sup>Model IBE: the model included mumps incidence, Baidu index, and environmental factors.</p>
            </fn>
            <fn id="table3fn5">
              <p><sup>e</sup>MAE: mean absolute error.</p>
            </fn>
            <fn id="table3fn6">
              <p><sup>f</sup>MAPE: mean absolute percentage error.</p>
            </fn>
            <fn id="table3fn7">
              <p><sup>g</sup>RMSE: root-mean-square error.</p>
            </fn>
          </table-wrap-foot>
        </table-wrap>
        <fig id="figure5" position="float">
          <label>Figure 5</label>
          <caption>
            <p>Predictions of weekly mumps incidence 1 week in advance by different models in Yunnan province from 2016 to 2023. Model BE: a model including Baidu index and environmental factors; model IB: the model including mumps incidence and Baidu index; model IE: a model including mumps incidence and environmental factors; model IBE: the model including mumps incidence, Baidu index, and environmental factors.</p>
          </caption>
          <graphic xlink:href="jmir_v27i1e66072_fig5.png" alt-version="no" mimetype="image" position="float" xlink:type="simple"/>
        </fig>
      </sec>
    </sec>
    <sec sec-type="discussion">
      <title>Discussion</title>
      <sec>
        <title>Principal Findings</title>
        <p>Our study presented the incidence of mumps from 2014 to 2023 in Yunnan, a representative province of irregular mumps activity, and found continuous mumps outbreaks in different cities from 2017 to 2020. Using multisource data, we constructed models for predicting the incidence of mumps one week in advance based on LSTM. Model IBE (ie, the model including the incidence of mumps, Baidu index, and environmental factors) showed the best performance among 4 models.</p>
      </sec>
      <sec>
        <title>Comparison to Previous Work</title>
        <p>The mean incidence of mumps in Yunnan from 2014 to 2023 was 16.9 per 100,000 persons, which is lower than that of the period between 2004 to 2012 (26.2/100,000) in Yunnan and comparable to the incidence in mainland China from 2013 to 2018 (16.9/100,000) [<xref ref-type="bibr" rid="ref19">19</xref>]. The 10-year incidence pattern of mumps in Yunnan shows an increase followed by a decrease starting in 2020. The decline may be related to the COVID-19 pandemic, which extensively reduced opportunities for interpersonal contact, thereby blocking the spread of infectious diseases. However, we do not have a definite explanation for the peak in 2019. Given the rapidly increasing number of cases among students in 2019, factors such as vaccine coverage, waning immunity, and the close gathering of adolescents on campuses may have contributed to the outbreak [<xref ref-type="bibr" rid="ref3">3</xref>,<xref ref-type="bibr" rid="ref33">33</xref>].</p>
        <p>Previous studies have found nonlinear associations between meteorological factors and the incidence of several infectious diseases including mumps [<xref ref-type="bibr" rid="ref34">34</xref>,<xref ref-type="bibr" rid="ref35">35</xref>], influenza [<xref ref-type="bibr" rid="ref23">23</xref>,<xref ref-type="bibr" rid="ref24">24</xref>,<xref ref-type="bibr" rid="ref36">36</xref>], and chickenpox [<xref ref-type="bibr" rid="ref37">37</xref>]. These findings suggest meteorological factors are common predictors for the field of infectious disease prediction. Our study found 6 environmental factors with a PCC of &#62;0.10 and presented their lag correlations with the incidence of mumps. The most relevant factors were PM<sub>2.5</sub> and SO<sub>2</sub>, both showing weak negative correlations (PCC=–0.2) with mumps incidence in Yunnan. Notably, the PCC is obviously lower than that of other infectious disease. For example, a study in Singapore found a stronger correlation (PCC=0.32) between minimum temperature and the COVID-19 pandemic incidence [<xref ref-type="bibr" rid="ref38">38</xref>]. This variability suggests that while environmental factors can be valuable for predicting some infectious diseases, they may not be sufficient for accurate prediction across all diseases, highlighting the need for additional predictors.</p>
        <p>In recent years, using search engine data, such as Google Trends [<xref ref-type="bibr" rid="ref39">39</xref>], and the Baidu index [<xref ref-type="bibr" rid="ref24">24</xref>,<xref ref-type="bibr" rid="ref40">40</xref>], to predict the incidence of infectious disease has become popular and demonstrated excellent predictive performance. The advantages of search engine data included timeliness, low cost, and sometimes stronger correlation with disease incidence than other data sources. Given the different disease outcomes, fairly comparing our study with other research using search engine data is challenging, as this is, to our knowledge, the first study to construct a mumps prediction model using search engine data. However, we noted that Yang et al [<xref ref-type="bibr" rid="ref24">24</xref>] and Choi and Ahn [<xref ref-type="bibr" rid="ref39">39</xref>], who predicted influenza incidence in mainland China and South Korea respectively, achieved similar or even better performance using Baidu index and Google Trends alone, compared with our study’s combination of the Baidu index and environmental factors. It suggests that the contribution of search engine data to incidence prediction may vary depending on types of disease, regions, and data sources. In our study, the PCCs of the Baidu index of 3 search term groups were higher than those of environmental factors. This may be because the Baidu index, derived from individuals’ active search activities, better reflected the incidence peak between 2018 to 2020. In contrast, the relatively stable environmental factors might contribute more to the seasonal trends in incidence but failed to capture the sharp fluctuations observed during outbreaks.</p>
        <p>Our study deployed multisource data to construct and compare 4 models, with the model IBE demonstrating superior performance. Notably, when Baidu index data was incorporated, model IBE exhibited even greater predictive accuracy compared with the IE model. This demonstrates the capability of the Baidu index to predict mumps incidence and the potential of integrating multiple data sources to complement the surveillance systems in predicting mumps more accurately, as these data sets can complement one another and provide a more comprehensive understanding of the influencing factors and early signs of disease spread. Further research could build on the proposed framework in our study or explore the integration of additional data sources, such as social media activity and movement behaviors, to further enhance the predictive models.</p>
      </sec>
      <sec>
        <title>Strengths and Limitations</title>
        <p>To our knowledge, our study is the first to develop a prediction model for the incidence of mumps that combines the Baidu index and environmental factors as predictors, and it is also the first to create such a model specifically for Yunnan province, China. In addition, by leveraging data such as the Baidu index, our model offers a novel and practical approach to monitor mumps incidence 1 week in advance.</p>
        <p>However, there are several limitations to our study. First, at the city level rather than the provincial level, we observed different outbreak times among cities from 2017 to 2020, which may indicate the spread trajectory of mumps and be important for its control and prevention. Unfortunately, the time-series forecast model in our study cannot leverage this geographical information. Future studies could explore integrating temporal and spatial data, which may be crucial for preventing widespread transmission. Second, some Baidu search terms were introduced after 2016 (eg, the search term “Symptoms and treatment of mump” was introduced on April 2, 2018), thereby decreasing the number of available predictors of the Baidu index, which may compromise the performance of Baidu index. Nonetheless, after extensive research, our study identified and included a sufficient number of predictors. Third, we did not have access to some meteorological factors such as sunshine duration and wind speed, which have been identified as effective predictors in other studies, potentially hindering better performance of our models. Future research should incorporate a broader range of meteorological variables to improve prediction accuracy further. Fourth, applying the model to practical public health interventions still faced several challenges. Future work should focus on developing a user-friendly tool that can automatically collect predictors and output results, making the model more accessible and actionable for public health authorities. Finally, due to economic and geographic variations in China [<xref ref-type="bibr" rid="ref19">19</xref>], various epidemic patterns of infectious diseases, and the different nature of data sets from other search platforms, this model may not generalize well across different regions, diseases, or data sources without careful adaptation and validation. While the model in this study was applied to mumps, similar approaches could potentially be applied to other infectious diseases with seasonal or outbreak-driven incidence patterns. Diseases such as influenza, chickenpox, and hand, foot, and mouth disease, where public awareness, mobility, and environmental factors play a role in transmission, might benefit from similar predictive frameworks. Future studies should focus on tailoring models to specific diseases and data sets to evaluate their broader applicability.</p>
      </sec>
      <sec>
        <title>Conclusions</title>
        <p>In conclusion, our study showed the incidence of mumps in Yunnan province, China, from 2014 to 2023, highlighting a sharp peak around 2019. We used data from 2016 to 2023, including mumps incidence, the Baidu index, and environmental factors, to construct 4 prediction models based on LSTM networks. Among these models, the model IBE demonstrates the best performance. This indicates the feasibility of using search engine data and environmental factors to forecast the incidence of mumps, offering a valuable tool for public health surveillance and rapid outbreak assessment.</p>
      </sec>
    </sec>
  </body>
  <back>
    <app-group>
      <supplementary-material id="app1">
        <label>Multimedia Appendix 1</label>
        <p>Additional tables.</p>
        <media xlink:href="jmir_v27i1e66072_app1.docx" xlink:title="DOCX File , 25 KB"/>
      </supplementary-material>
    </app-group>
    <glossary>
      <title>Abbreviations</title>
      <def-list>
        <def-item>
          <term id="abb1">CO</term>
          <def>
            <p>carbon monoxide</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb2">DLNM</term>
          <def>
            <p>distributed nonlinear lag model</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb3">LSTM</term>
          <def>
            <p>long short-term memory</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb4">MAE</term>
          <def>
            <p>mean absolute error</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb5">MAPE</term>
          <def>
            <p>mean absolute percentage error</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb6">PCC</term>
          <def>
            <p>Pearson correlation coefficient</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb7">PM</term>
          <def>
            <p>particulate matter</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb8">PM2.5</term>
          <def>
            <p>particulate matter with a diameter of 2.5 µm or less</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb9">PM10</term>
          <def>
            <p>particulate matter with a diameter of 10 µm or less</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb10">RMSE</term>
          <def>
            <p>root-mean-square error</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb11">RR</term>
          <def>
            <p>relative risk</p>
          </def>
        </def-item>
        <def-item>
          <term id="abb12">SO2</term>
          <def>
            <p>sulfur dioxide</p>
          </def>
        </def-item>
      </def-list>
    </glossary>
    <ack>
      <p>XX, LX, and IXW designed the study. XX extracted data. LX conducted data analysis. XX and LX wrote the draft. IX W, SD, and LC critically revised the manuscript.</p>
      <p>Special thanks would be extended to IXW and SD for equqally invovling in the correspondence with collaborators and the review process. While not listed as a correspoding author, IXW made significant contributions throughout the process.</p>
      <p>We would like to thank Baidu and the China Center for Disease Control and Prevention.</p>
    </ack>
    <fn-group>
      <fn fn-type="conflict">
        <p>None declared.</p>
      </fn>
    </fn-group>
    <ref-list>
      <ref id="ref1">
        <label>1</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Grennan</surname>
              <given-names>D</given-names>
            </name>
          </person-group>
          <article-title>Mumps</article-title>
          <source>JAMA</source>
          <year>2019</year>
          <volume>322</volume>
          <issue>10</issue>
          <fpage>1022</fpage>
          <pub-id pub-id-type="doi">10.1001/jama.2019.10982</pub-id>
          <pub-id pub-id-type="medline">31503310</pub-id>
          <pub-id pub-id-type="pii">2749600</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref2">
        <label>2</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Lam</surname>
              <given-names>E</given-names>
            </name>
            <name name-style="western">
              <surname>Rosen</surname>
              <given-names>JB</given-names>
            </name>
            <name name-style="western">
              <surname>Zucker</surname>
              <given-names>JR</given-names>
            </name>
          </person-group>
          <article-title>Mumps: an update on outbreaks, vaccine efficacy, and genomic diversity</article-title>
          <source>Clin Microbiol Rev</source>
          <year>2020</year>
          <volume>33</volume>
          <issue>2</issue>
          <fpage>e00151</fpage>
          <lpage>19</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/32102901"/>
          </comment>
          <pub-id pub-id-type="doi">10.1128/CMR.00151-19</pub-id>
          <pub-id pub-id-type="medline">32102901</pub-id>
          <pub-id pub-id-type="pii">33/2/e00151-19</pub-id>
          <pub-id pub-id-type="pmcid">PMC7048016</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref3">
        <label>3</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Principi</surname>
              <given-names>N</given-names>
            </name>
            <name name-style="western">
              <surname>Esposito</surname>
              <given-names>S</given-names>
            </name>
          </person-group>
          <article-title>Mumps outbreaks: a problem in need of solutions</article-title>
          <source>J Infect</source>
          <year>2018</year>
          <volume>76</volume>
          <issue>6</issue>
          <fpage>503</fpage>
          <lpage>506</lpage>
          <pub-id pub-id-type="doi">10.1016/j.jinf.2018.03.002</pub-id>
          <pub-id pub-id-type="medline">29678496</pub-id>
          <pub-id pub-id-type="pii">S0163-4453(18)30101-4</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref4">
        <label>4</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Dayan</surname>
              <given-names>GH</given-names>
            </name>
            <name name-style="western">
              <surname>Quinlisk</surname>
              <given-names>MP</given-names>
            </name>
            <name name-style="western">
              <surname>Parker</surname>
              <given-names>AA</given-names>
            </name>
            <name name-style="western">
              <surname>Barskey</surname>
              <given-names>AE</given-names>
            </name>
            <name name-style="western">
              <surname>Harris</surname>
              <given-names>ML</given-names>
            </name>
            <name name-style="western">
              <surname>Schwartz</surname>
              <given-names>JMH</given-names>
            </name>
            <name name-style="western">
              <surname>Hunt</surname>
              <given-names>K</given-names>
            </name>
            <name name-style="western">
              <surname>Finley</surname>
              <given-names>CG</given-names>
            </name>
            <name name-style="western">
              <surname>Leschinsky</surname>
              <given-names>DP</given-names>
            </name>
            <name name-style="western">
              <surname>O'Keefe</surname>
              <given-names>AL</given-names>
            </name>
            <name name-style="western">
              <surname>Clayton</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Kightlinger</surname>
              <given-names>LK</given-names>
            </name>
            <name name-style="western">
              <surname>Dietle</surname>
              <given-names>EG</given-names>
            </name>
            <name name-style="western">
              <surname>Berg</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Kenyon</surname>
              <given-names>CL</given-names>
            </name>
            <name name-style="western">
              <surname>Goldstein</surname>
              <given-names>ST</given-names>
            </name>
            <name name-style="western">
              <surname>Stokley</surname>
              <given-names>SK</given-names>
            </name>
            <name name-style="western">
              <surname>Redd</surname>
              <given-names>SB</given-names>
            </name>
            <name name-style="western">
              <surname>Rota</surname>
              <given-names>PA</given-names>
            </name>
            <name name-style="western">
              <surname>Rota</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Bi</surname>
              <given-names>D</given-names>
            </name>
            <name name-style="western">
              <surname>Roush</surname>
              <given-names>SW</given-names>
            </name>
            <name name-style="western">
              <surname>Bridges</surname>
              <given-names>CB</given-names>
            </name>
            <name name-style="western">
              <surname>Santibanez</surname>
              <given-names>TA</given-names>
            </name>
            <name name-style="western">
              <surname>Parashar</surname>
              <given-names>U</given-names>
            </name>
            <name name-style="western">
              <surname>Bellini</surname>
              <given-names>WJ</given-names>
            </name>
            <name name-style="western">
              <surname>Seward</surname>
              <given-names>JF</given-names>
            </name>
          </person-group>
          <article-title>Recent resurgence of mumps in the United States</article-title>
          <source>N Engl J Med</source>
          <year>2008</year>
          <volume>358</volume>
          <issue>15</issue>
          <fpage>1580</fpage>
          <lpage>1589</lpage>
          <pub-id pub-id-type="doi">10.1056/NEJMoa0706589</pub-id>
          <pub-id pub-id-type="medline">18403766</pub-id>
          <pub-id pub-id-type="pii">358/15/1580</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref5">
        <label>5</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Di Pietrantonj</surname>
              <given-names>C</given-names>
            </name>
            <name name-style="western">
              <surname>Rivetti</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Marchione</surname>
              <given-names>P</given-names>
            </name>
            <name name-style="western">
              <surname>Debalini</surname>
              <given-names>MG</given-names>
            </name>
            <name name-style="western">
              <surname>Demicheli</surname>
              <given-names>V</given-names>
            </name>
          </person-group>
          <article-title>Vaccines for measles, mumps, rubella, and varicella in children</article-title>
          <source>Cochrane Database Syst Rev</source>
          <year>2021</year>
          <volume>11</volume>
          <issue>11</issue>
          <fpage>CD004407</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/34806766"/>
          </comment>
          <pub-id pub-id-type="doi">10.1002/14651858.CD004407.pub5</pub-id>
          <pub-id pub-id-type="medline">34806766</pub-id>
          <pub-id pub-id-type="pmcid">PMC8607336</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref6">
        <label>6</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Galazka</surname>
              <given-names>AM</given-names>
            </name>
            <name name-style="western">
              <surname>Robertson</surname>
              <given-names>SE</given-names>
            </name>
            <name name-style="western">
              <surname>Kraigher</surname>
              <given-names>A</given-names>
            </name>
          </person-group>
          <article-title>Mumps and mumps vaccine: a global review</article-title>
          <source>Bull World Health Organ</source>
          <year>1999</year>
          <volume>77</volume>
          <issue>1</issue>
          <fpage>3</fpage>
          <lpage>14</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/10063655"/>
          </comment>
          <pub-id pub-id-type="medline">10063655</pub-id>
          <pub-id pub-id-type="pmcid">PMC2557572</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref7">
        <label>7</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Kauffmann</surname>
              <given-names>F</given-names>
            </name>
            <name name-style="western">
              <surname>Heffernan</surname>
              <given-names>C</given-names>
            </name>
            <name name-style="western">
              <surname>Meurice</surname>
              <given-names>F</given-names>
            </name>
            <name name-style="western">
              <surname>Ota</surname>
              <given-names>MOC</given-names>
            </name>
            <name name-style="western">
              <surname>Vetter</surname>
              <given-names>V</given-names>
            </name>
            <name name-style="western">
              <surname>Casabona</surname>
              <given-names>G</given-names>
            </name>
          </person-group>
          <article-title>Measles, mumps, rubella prevention: how can we do better?</article-title>
          <source>Expert Rev Vaccines</source>
          <year>2021</year>
          <volume>20</volume>
          <issue>7</issue>
          <fpage>811</fpage>
          <lpage>826</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.tandfonline.com/doi/10.1080/14760584.2021.1927722?url_ver=Z39.88-2003&#38;rfr_id=ori:rid:crossref.org&#38;rfr_dat=cr_pub  0pubmed"/>
          </comment>
          <pub-id pub-id-type="doi">10.1080/14760584.2021.1927722</pub-id>
          <pub-id pub-id-type="medline">34096442</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref8">
        <label>8</label>
        <nlm-citation citation-type="web">
          <person-group person-group-type="author">
            <collab>World Health Organization</collab>
          </person-group>
          <source>Immunization coverage</source>
          <access-date>2024-11-25</access-date>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.who.int/en/news-room/fact-sheets/detail/immunization-coverage">https://www.who.int/en/news-room/fact-sheets/detail/immunization-coverage</ext-link>
          </comment>
        </nlm-citation>
      </ref>
      <ref id="ref9">
        <label>9</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Zamir</surname>
              <given-names>CS</given-names>
            </name>
            <name name-style="western">
              <surname>Schroeder</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>Shoob</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>Abramson</surname>
              <given-names>N</given-names>
            </name>
            <name name-style="western">
              <surname>Zentner</surname>
              <given-names>G</given-names>
            </name>
          </person-group>
          <article-title>Characteristics of a large mumps outbreak: clinical severity, complications and association with vaccination status of mumps outbreak cases</article-title>
          <source>Hum Vaccin Immunother</source>
          <year>2015</year>
          <volume>11</volume>
          <issue>6</issue>
          <fpage>1413</fpage>
          <lpage>1417</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.tandfonline.com/doi/10.1080/21645515.2015.1021522?url_ver=Z39.88-2003&#38;rfr_id=ori:rid:crossref.org&#38;rfr_dat=cr_pub  0pubmed"/>
          </comment>
          <pub-id pub-id-type="doi">10.1080/21645515.2015.1021522</pub-id>
          <pub-id pub-id-type="medline">25874726</pub-id>
          <pub-id pub-id-type="pmcid">PMC4514179</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref10">
        <label>10</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Aasheim</surname>
              <given-names>ET</given-names>
            </name>
            <name name-style="western">
              <surname>Inns</surname>
              <given-names>T</given-names>
            </name>
            <name name-style="western">
              <surname>Trindall</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Emmett</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Brown</surname>
              <given-names>KE</given-names>
            </name>
            <name name-style="western">
              <surname>Williams</surname>
              <given-names>CJ</given-names>
            </name>
            <name name-style="western">
              <surname>Reacher</surname>
              <given-names>M</given-names>
            </name>
          </person-group>
          <article-title>Outbreak of mumps in a school setting, United Kingdom, 2013</article-title>
          <source>Hum Vaccin Immunother</source>
          <year>2014</year>
          <volume>10</volume>
          <issue>8</issue>
          <fpage>2446</fpage>
          <lpage>2449</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.tandfonline.com/doi/10.4161/hv.29484?url_ver=Z39.88-2003&#38;rfr_id=ori:rid:crossref.org&#38;rfr_dat=cr_pub  0pubmed"/>
          </comment>
          <pub-id pub-id-type="doi">10.4161/hv.29484</pub-id>
          <pub-id pub-id-type="medline">25424953</pub-id>
          <pub-id pub-id-type="pmcid">PMC4896804</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref11">
        <label>11</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Ferenczi</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Gee</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Cotter</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Kelleher</surname>
              <given-names>K</given-names>
            </name>
            <collab>Mumps Outbreak Control Team</collab>
          </person-group>
          <article-title>Ongoing mumps outbreak among adolescents and young adults, Ireland, August 2018 to January 2020</article-title>
          <source>Euro Surveill</source>
          <year>2020</year>
          <volume>25</volume>
          <issue>4</issue>
          <fpage>2000047</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="http://www.eurosurveillance.org/content/10.2807/1560-7917.ES.2020.25.4.2000047"/>
          </comment>
          <pub-id pub-id-type="doi">10.2807/1560-7917.ES.2020.25.4.2000047</pub-id>
          <pub-id pub-id-type="medline">32019666</pub-id>
          <pub-id pub-id-type="pmcid">PMC7001241</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref12">
        <label>12</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Marshall</surname>
              <given-names>HS</given-names>
            </name>
            <name name-style="western">
              <surname>Plotkin</surname>
              <given-names>S</given-names>
            </name>
          </person-group>
          <article-title>The changing epidemiology of mumps in a high vaccination era</article-title>
          <source>Lancet Infect Dis</source>
          <year>2019</year>
          <volume>19</volume>
          <issue>2</issue>
          <fpage>118</fpage>
          <lpage>119</lpage>
          <pub-id pub-id-type="doi">10.1016/S1473-3099(18)30541-3</pub-id>
          <pub-id pub-id-type="medline">30558996</pub-id>
          <pub-id pub-id-type="pii">S1473-3099(18)30541-3</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref13">
        <label>13</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Dong</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Wang</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Burgner</surname>
              <given-names>DP</given-names>
            </name>
            <name name-style="western">
              <surname>Miller</surname>
              <given-names>JE</given-names>
            </name>
            <name name-style="western">
              <surname>Song</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Ren</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>Xing</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Ma</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Sawyer</surname>
              <given-names>SM</given-names>
            </name>
            <name name-style="western">
              <surname>Patton</surname>
              <given-names>GC</given-names>
            </name>
          </person-group>
          <article-title>Infectious diseases in children and adolescents in China: analysis of national surveillance data from 2008 to 2017</article-title>
          <source>BMJ</source>
          <year>2020</year>
          <volume>369</volume>
          <fpage>m1043</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.bmj.com/lookup/pmidlookup?view=long&#38;pmid=32241761"/>
          </comment>
          <pub-id pub-id-type="doi">10.1136/bmj.m1043</pub-id>
          <pub-id pub-id-type="medline">32241761</pub-id>
          <pub-id pub-id-type="pmcid">PMC7114954</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref14">
        <label>14</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Cui</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Zhu</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>Hu</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Deng</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Sun</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Mao</surname>
              <given-names>N</given-names>
            </name>
            <name name-style="western">
              <surname>Xu</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Fang</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Gao</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>Si</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Lei</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Zheng</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>He</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Wu</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>Xu</surname>
              <given-names>W</given-names>
            </name>
          </person-group>
          <article-title>Mumps epidemiology and mumps virus genotypes circulating in mainland China during 2013-2015</article-title>
          <source>PLoS One</source>
          <year>2017</year>
          <volume>12</volume>
          <issue>1</issue>
          <fpage>e0169561</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://dx.plos.org/10.1371/journal.pone.0169561"/>
          </comment>
          <pub-id pub-id-type="doi">10.1371/journal.pone.0169561</pub-id>
          <pub-id pub-id-type="medline">28085897</pub-id>
          <pub-id pub-id-type="pii">PONE-D-16-42430</pub-id>
          <pub-id pub-id-type="pmcid">PMC5234798</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref15">
        <label>15</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Paradise Vit</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Magid</surname>
              <given-names>A</given-names>
            </name>
          </person-group>
          <article-title>Differences in fear and negativity levels between formal and informal health-related websites: analysis of sentiments and emotions</article-title>
          <source>J Med Internet Res</source>
          <year>2024</year>
          <volume>26</volume>
          <fpage>e55151</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.jmir.org/2024//e55151/"/>
          </comment>
          <pub-id pub-id-type="doi">10.2196/55151</pub-id>
          <pub-id pub-id-type="medline">39120928</pub-id>
          <pub-id pub-id-type="pii">v26i1e55151</pub-id>
          <pub-id pub-id-type="pmcid">PMC11344190</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref16">
        <label>16</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Westphal</surname>
              <given-names>DW</given-names>
            </name>
            <name name-style="western">
              <surname>Eastwood</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Levy</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Davies</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Huppatz</surname>
              <given-names>C</given-names>
            </name>
            <name name-style="western">
              <surname>Gilles</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Lyttle</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>Williams</surname>
              <given-names>SA</given-names>
            </name>
            <name name-style="western">
              <surname>Dowse</surname>
              <given-names>GK</given-names>
            </name>
          </person-group>
          <article-title>A protracted mumps outbreak in Western Australia despite high vaccine coverage: a population-based surveillance study</article-title>
          <source>Lancet Infect Dis</source>
          <year>2019</year>
          <volume>19</volume>
          <issue>2</issue>
          <fpage>177</fpage>
          <lpage>184</lpage>
          <pub-id pub-id-type="doi">10.1016/S1473-3099(18)30498-5</pub-id>
          <pub-id pub-id-type="medline">30558994</pub-id>
          <pub-id pub-id-type="pii">S1473-3099(18)30498-5</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref17">
        <label>17</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <collab>Department of Planning，Development，and Information Technology，National Health Commission of the People's Republic of China</collab>
          </person-group>
          <article-title>Statistical bulletin of China's health development in 2023</article-title>
          <source>Chin J Viral Dis</source>
          <year>2024</year>
          <volume>14</volume>
          <issue>05</issue>
          <fpage>416</fpage>
          <lpage>424</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://link.cnki.net/doi/10.16505/j.2095-0136.2024.0083"/>
          </comment>
          <pub-id pub-id-type="doi">10.16505/j.2095-0136.2024.0083</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref18">
        <label>18</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <collab>Department of Planning,Development and Information Technology,National Health Commission of the People's Republic of China</collab>
          </person-group>
          <article-title>Statistical bulletin of China's health development in 2022</article-title>
          <source>Chin J Viral Dis</source>
          <year>2024</year>
          <volume>14</volume>
          <issue>04</issue>
          <fpage>317</fpage>
          <lpage>325</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://link.cnki.net/doi/10.16505/j.2095-0136.2024.0066"/>
          </comment>
          <pub-id pub-id-type="doi">10.16505/j.2095-0136.2024.0066</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref19">
        <label>19</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Fu</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Ge</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Xu</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Yu</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Ju</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Zhong</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Huang</surname>
              <given-names>H</given-names>
            </name>
          </person-group>
          <article-title>Epidemiological features and sociodemographic factors associated with mumps in mainland China from 2004 to 2018</article-title>
          <source>J Med Virol</source>
          <year>2022</year>
          <volume>94</volume>
          <issue>10</issue>
          <fpage>4850</fpage>
          <lpage>4859</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/35739613"/>
          </comment>
          <pub-id pub-id-type="doi">10.1002/jmv.27955</pub-id>
          <pub-id pub-id-type="medline">35739613</pub-id>
          <pub-id pub-id-type="pmcid">PMC9546204</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref20">
        <label>20</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>Su</surname>
              <given-names>K</given-names>
            </name>
            <name name-style="western">
              <surname>Zhong</surname>
              <given-names>X</given-names>
            </name>
          </person-group>
          <article-title>Association between meteorological factors and mumps and models for prediction in Chongqing, China</article-title>
          <source>Int J Environ Res Public Health</source>
          <year>2022</year>
          <volume>19</volume>
          <issue>11</issue>
          <fpage>6625</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.mdpi.com/resolver?pii=ijerph19116625"/>
          </comment>
          <pub-id pub-id-type="doi">10.3390/ijerph19116625</pub-id>
          <pub-id pub-id-type="medline">35682208</pub-id>
          <pub-id pub-id-type="pii">ijerph19116625</pub-id>
          <pub-id pub-id-type="pmcid">PMC9180516</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref21">
        <label>21</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Jia</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Liu</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Xue</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>Wang</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>Pan</surname>
              <given-names>Y</given-names>
            </name>
          </person-group>
          <article-title>Prediction of mumps incidence trend in China based on difference grey model and artificial neural network learning</article-title>
          <source>Iran J Public Health</source>
          <year>2021</year>
          <volume>50</volume>
          <issue>7</issue>
          <fpage>1405</fpage>
          <lpage>1415</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/34568179"/>
          </comment>
          <pub-id pub-id-type="doi">10.18502/ijph.v50i7.6630</pub-id>
          <pub-id pub-id-type="medline">34568179</pub-id>
          <pub-id pub-id-type="pii">IJPH-50-1405</pub-id>
          <pub-id pub-id-type="pmcid">PMC8426770</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref22">
        <label>22</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Wang</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>He</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Jin</surname>
              <given-names>B</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Han</surname>
              <given-names>C</given-names>
            </name>
            <name name-style="western">
              <surname>Wang</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Wang</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>An</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Zhao</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Zhen</surname>
              <given-names>Q</given-names>
            </name>
            <name name-style="western">
              <surname>Tiejun</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>X</given-names>
            </name>
          </person-group>
          <article-title>Using baidu index data to improve chickenpox surveillance in Yunnan, China: infodemiology study</article-title>
          <source>J Med Internet Res</source>
          <year>2023</year>
          <volume>25</volume>
          <fpage>e44186</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.jmir.org/2023//e44186/"/>
          </comment>
          <pub-id pub-id-type="doi">10.2196/44186</pub-id>
          <pub-id pub-id-type="medline">37191983</pub-id>
          <pub-id pub-id-type="pii">v25i1e44186</pub-id>
          <pub-id pub-id-type="pmcid">PMC10230353</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref23">
        <label>23</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Su</surname>
              <given-names>K</given-names>
            </name>
            <name name-style="western">
              <surname>Xu</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>G</given-names>
            </name>
            <name name-style="western">
              <surname>Ruan</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Deng</surname>
              <given-names>P</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>Q</given-names>
            </name>
            <name name-style="western">
              <surname>Chen</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Xiong</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Lu</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Qi</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Shen</surname>
              <given-names>C</given-names>
            </name>
            <name name-style="western">
              <surname>Tang</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Rong</surname>
              <given-names>R</given-names>
            </name>
            <name name-style="western">
              <surname>Hong</surname>
              <given-names>B</given-names>
            </name>
            <name name-style="western">
              <surname>Ning</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Long</surname>
              <given-names>D</given-names>
            </name>
            <name name-style="western">
              <surname>Xu</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Shi</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Yang</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>Q</given-names>
            </name>
            <name name-style="western">
              <surname>Zhuang</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Xiao</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>Y</given-names>
            </name>
          </person-group>
          <article-title>Forecasting influenza activity using self-adaptive AI model and multi-source data in Chongqing, China</article-title>
          <source>EBioMedicine</source>
          <year>2019</year>
          <volume>47</volume>
          <fpage>284</fpage>
          <lpage>292</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://linkinghub.elsevier.com/retrieve/pii/S2352-3964(19)30546-8"/>
          </comment>
          <pub-id pub-id-type="doi">10.1016/j.ebiom.2019.08.024</pub-id>
          <pub-id pub-id-type="medline">31477561</pub-id>
          <pub-id pub-id-type="pii">S2352-3964(19)30546-8</pub-id>
          <pub-id pub-id-type="pmcid">PMC6796527</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref24">
        <label>24</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Yang</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>T</given-names>
            </name>
            <name name-style="western">
              <surname>Han</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Yang</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Sun</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Ma</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Chen</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Lai</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Feng</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Yang</surname>
              <given-names>W</given-names>
            </name>
          </person-group>
          <article-title>Influenza epidemic trend surveillance and prediction based on search engine data: deep learning model study</article-title>
          <source>J Med Internet Res</source>
          <year>2023</year>
          <volume>25</volume>
          <fpage>e45085</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.jmir.org/2023//e45085/"/>
          </comment>
          <pub-id pub-id-type="doi">10.2196/45085</pub-id>
          <pub-id pub-id-type="medline">37847532</pub-id>
          <pub-id pub-id-type="pii">v25i1e45085</pub-id>
          <pub-id pub-id-type="pmcid">PMC10618884</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref25">
        <label>25</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Hochreiter</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Schmidhuber</surname>
              <given-names>J</given-names>
            </name>
          </person-group>
          <article-title>Long short-term memory</article-title>
          <source>Neural Comput</source>
          <year>1997</year>
          <volume>9</volume>
          <issue>8</issue>
          <fpage>1735</fpage>
          <lpage>1780</lpage>
          <pub-id pub-id-type="doi">10.1162/neco.1997.9.8.1735</pub-id>
          <pub-id pub-id-type="medline">9377276</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref26">
        <label>26</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Lara-Benítez</surname>
              <given-names>P</given-names>
            </name>
            <name name-style="western">
              <surname>Carranza-García</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Riquelme</surname>
              <given-names>JC</given-names>
            </name>
          </person-group>
          <article-title>An experimental review on deep learning architectures for time series forecasting</article-title>
          <source>Int J Neural Syst</source>
          <year>2021</year>
          <volume>31</volume>
          <issue>3</issue>
          <fpage>2130001</fpage>
          <pub-id pub-id-type="doi">10.1142/S0129065721300011</pub-id>
          <pub-id pub-id-type="medline">33588711</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref27">
        <label>27</label>
        <nlm-citation citation-type="web">
          <source>Baidu index</source>
          <access-date>2024-08-16</access-date>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://index.baidu.com">https://index.baidu.com</ext-link>
          </comment>
        </nlm-citation>
      </ref>
      <ref id="ref28">
        <label>28</label>
        <nlm-citation citation-type="web">
          <source>Tianqihoubao</source>
          <access-date>2024-09-20</access-date>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="http://www.tianqihoubao.com">http://www.tianqihoubao.com</ext-link>
          </comment>
        </nlm-citation>
      </ref>
      <ref id="ref29">
        <label>29</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>T</given-names>
            </name>
            <name name-style="western">
              <surname>Qin</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Nie</surname>
              <given-names>T</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>D</given-names>
            </name>
            <name name-style="western">
              <surname>Wu</surname>
              <given-names>X</given-names>
            </name>
          </person-group>
          <article-title>Effects of meteorological factors on the incidence of varicella in Lu'an, Eastern China, 2015-2020</article-title>
          <source>Environ Sci Pollut Res Int</source>
          <year>2023</year>
          <volume>30</volume>
          <issue>4</issue>
          <fpage>10052</fpage>
          <lpage>10062</lpage>
          <pub-id pub-id-type="doi">10.1007/s11356-022-22878-0</pub-id>
          <pub-id pub-id-type="medline">36066801</pub-id>
          <pub-id pub-id-type="pii">10.1007/s11356-022-22878-0</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref30">
        <label>30</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Gasparrini</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Armstrong</surname>
              <given-names>B</given-names>
            </name>
            <name name-style="western">
              <surname>Kenward</surname>
              <given-names>MG</given-names>
            </name>
          </person-group>
          <article-title>Distributed lag non-linear models</article-title>
          <source>Stat Med</source>
          <year>2010</year>
          <volume>29</volume>
          <issue>21</issue>
          <fpage>2224</fpage>
          <lpage>2234</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/20812303"/>
          </comment>
          <pub-id pub-id-type="doi">10.1002/sim.3940</pub-id>
          <pub-id pub-id-type="medline">20812303</pub-id>
          <pub-id pub-id-type="pmcid">PMC2998707</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref31">
        <label>31</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Gasparrini</surname>
              <given-names>A</given-names>
            </name>
          </person-group>
          <article-title>Distributed lag linear and non-linear models in R: the package dlnm</article-title>
          <source>J Stat Softw</source>
          <year>2011</year>
          <volume>43</volume>
          <issue>8</issue>
          <fpage>1</fpage>
          <lpage>20</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/22003319"/>
          </comment>
          <pub-id pub-id-type="medline">22003319</pub-id>
          <pub-id pub-id-type="pmcid">PMC3191524</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref32">
        <label>32</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Li</surname>
              <given-names>R</given-names>
            </name>
            <name name-style="western">
              <surname>Lin</surname>
              <given-names>H</given-names>
            </name>
            <name name-style="western">
              <surname>Liang</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>T</given-names>
            </name>
            <name name-style="western">
              <surname>Luo</surname>
              <given-names>C</given-names>
            </name>
            <name name-style="western">
              <surname>Jiang</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>Xu</surname>
              <given-names>Q</given-names>
            </name>
            <name name-style="western">
              <surname>Xue</surname>
              <given-names>F</given-names>
            </name>
            <name name-style="western">
              <surname>Liu</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>X</given-names>
            </name>
          </person-group>
          <article-title>The short-term association between meteorological factors and mumps in Jining, China</article-title>
          <source>Sci Total Environ</source>
          <year>2016</year>
          <volume>568</volume>
          <fpage>1069</fpage>
          <lpage>1075</lpage>
          <pub-id pub-id-type="doi">10.1016/j.scitotenv.2016.06.158</pub-id>
          <pub-id pub-id-type="medline">27353959</pub-id>
          <pub-id pub-id-type="pii">S0048-9697(16)31335-3</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref33">
        <label>33</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Vygen</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Fischer</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Meurice</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Mounchetrou Njoya</surname>
              <given-names>I</given-names>
            </name>
            <name name-style="western">
              <surname>Gregoris</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Ndiaye</surname>
              <given-names>B</given-names>
            </name>
            <name name-style="western">
              <surname>Ghenassia</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Poujol</surname>
              <given-names>I</given-names>
            </name>
            <name name-style="western">
              <surname>Stahl</surname>
              <given-names>JP</given-names>
            </name>
            <name name-style="western">
              <surname>Antona</surname>
              <given-names>D</given-names>
            </name>
            <name name-style="western">
              <surname>Le Strat</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Levy-Bruhl</surname>
              <given-names>D</given-names>
            </name>
            <name name-style="western">
              <surname>Rolland</surname>
              <given-names>P</given-names>
            </name>
          </person-group>
          <article-title>Waning immunity against mumps in vaccinated young adults, France 2013</article-title>
          <source>Euro Surveill</source>
          <year>2016</year>
          <volume>21</volume>
          <issue>10</issue>
          <fpage>30156</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="http://www.eurosurveillance.org/ViewArticle.aspx?ArticleId=21404"/>
          </comment>
          <pub-id pub-id-type="doi">10.2807/1560-7917.ES.2016.21.10.30156</pub-id>
          <pub-id pub-id-type="medline">26987576</pub-id>
          <pub-id pub-id-type="pii">30156</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref34">
        <label>34</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Yu</surname>
              <given-names>G</given-names>
            </name>
            <name name-style="western">
              <surname>Yang</surname>
              <given-names>R</given-names>
            </name>
            <name name-style="western">
              <surname>Yu</surname>
              <given-names>D</given-names>
            </name>
            <name name-style="western">
              <surname>Cai</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Tang</surname>
              <given-names>J</given-names>
            </name>
            <name name-style="western">
              <surname>Zhai</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Wei</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Chen</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Chen</surname>
              <given-names>Q</given-names>
            </name>
            <name name-style="western">
              <surname>Zhong</surname>
              <given-names>G</given-names>
            </name>
            <name name-style="western">
              <surname>Qin</surname>
              <given-names>J</given-names>
            </name>
          </person-group>
          <article-title>Impact of meteorological factors on mumps and potential effect modifiers: an analysis of 10 cities in Guangxi, Southern China</article-title>
          <source>Environ Res</source>
          <year>2018</year>
          <volume>166</volume>
          <fpage>577</fpage>
          <lpage>587</lpage>
          <pub-id pub-id-type="doi">10.1016/j.envres.2018.06.047</pub-id>
          <pub-id pub-id-type="medline">29966878</pub-id>
          <pub-id pub-id-type="pii">S0013-9351(18)30352-9</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref35">
        <label>35</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Hu</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Han</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Xue</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Ma</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Bi</surname>
              <given-names>P</given-names>
            </name>
          </person-group>
          <article-title>Meteorological factors and the incidence of mumps in Fujian Province, China, 2005-2013: Non-linear effects</article-title>
          <source>Sci Total Environ</source>
          <year>2018</year>
          <volume>619-620</volume>
          <fpage>1286</fpage>
          <lpage>1298</lpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/29734606"/>
          </comment>
          <pub-id pub-id-type="doi">10.1016/j.scitotenv.2017.11.108</pub-id>
          <pub-id pub-id-type="medline">29734606</pub-id>
          <pub-id pub-id-type="pii">S0048-9697(17)33166-2</pub-id>
          <pub-id pub-id-type="pmcid">PMC7112015</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref36">
        <label>36</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Athanasiou</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>Fragkozidis</surname>
              <given-names>G</given-names>
            </name>
            <name name-style="western">
              <surname>Zarkogianni</surname>
              <given-names>K</given-names>
            </name>
            <name name-style="western">
              <surname>Nikita</surname>
              <given-names>KS</given-names>
            </name>
          </person-group>
          <article-title>Long short-term memory-based prediction of the spread of influenza-like illness leveraging surveillance, weather, and twitter data: model development and validation</article-title>
          <source>J Med Internet Res</source>
          <year>2023</year>
          <volume>25</volume>
          <fpage>e42519</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://www.jmir.org/2023//e42519/"/>
          </comment>
          <pub-id pub-id-type="doi">10.2196/42519</pub-id>
          <pub-id pub-id-type="medline">36745490</pub-id>
          <pub-id pub-id-type="pii">v25i1e42519</pub-id>
          <pub-id pub-id-type="pmcid">PMC9941907</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref37">
        <label>37</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Chen</surname>
              <given-names>B</given-names>
            </name>
            <name name-style="western">
              <surname>Sumi</surname>
              <given-names>A</given-names>
            </name>
            <name name-style="western">
              <surname>Wang</surname>
              <given-names>L</given-names>
            </name>
            <name name-style="western">
              <surname>Zhou</surname>
              <given-names>W</given-names>
            </name>
            <name name-style="western">
              <surname>Kobayashi</surname>
              <given-names>N</given-names>
            </name>
          </person-group>
          <article-title>Role of meteorological conditions in reported chickenpox cases in Wuhan and Hong Kong, China</article-title>
          <source>BMC Infect Dis</source>
          <year>2017</year>
          <volume>17</volume>
          <issue>1</issue>
          <fpage>538</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://bmcinfectdis.biomedcentral.com/articles/10.1186/s12879-017-2640-1"/>
          </comment>
          <pub-id pub-id-type="doi">10.1186/s12879-017-2640-1</pub-id>
          <pub-id pub-id-type="medline">28774264</pub-id>
          <pub-id pub-id-type="pii">10.1186/s12879-017-2640-1</pub-id>
          <pub-id pub-id-type="pmcid">PMC5541728</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref38">
        <label>38</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Pani</surname>
              <given-names>SK</given-names>
            </name>
            <name name-style="western">
              <surname>Lin</surname>
              <given-names>N</given-names>
            </name>
            <name name-style="western">
              <surname>RavindraBabu</surname>
              <given-names>S</given-names>
            </name>
          </person-group>
          <article-title>Association of COVID-19 pandemic with meteorological parameters over Singapore</article-title>
          <source>Sci Total Environ</source>
          <year>2020</year>
          <volume>740</volume>
          <fpage>140112</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://europepmc.org/abstract/MED/32544735"/>
          </comment>
          <pub-id pub-id-type="doi">10.1016/j.scitotenv.2020.140112</pub-id>
          <pub-id pub-id-type="medline">32544735</pub-id>
          <pub-id pub-id-type="pii">S0048-9697(20)33633-0</pub-id>
          <pub-id pub-id-type="pmcid">PMC7289735</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref39">
        <label>39</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Choi</surname>
              <given-names>SB</given-names>
            </name>
            <name name-style="western">
              <surname>Ahn</surname>
              <given-names>I</given-names>
            </name>
          </person-group>
          <article-title>Forecasting seasonal influenza-like illness in South Korea after 2 and 30 weeks using Google Trends and influenza data from Argentina</article-title>
          <source>PLoS One</source>
          <year>2020</year>
          <volume>15</volume>
          <issue>7</issue>
          <fpage>e0233855</fpage>
          <comment>
            <ext-link ext-link-type="uri" xlink:type="simple" xlink:href="https://dx.plos.org/10.1371/journal.pone.0233855"/>
          </comment>
          <pub-id pub-id-type="doi">10.1371/journal.pone.0233855</pub-id>
          <pub-id pub-id-type="medline">32673312</pub-id>
          <pub-id pub-id-type="pii">PONE-D-20-06033</pub-id>
          <pub-id pub-id-type="pmcid">PMC7365353</pub-id>
        </nlm-citation>
      </ref>
      <ref id="ref40">
        <label>40</label>
        <nlm-citation citation-type="journal">
          <person-group person-group-type="author">
            <name name-style="western">
              <surname>Chen</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Liu</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Wu</surname>
              <given-names>Y</given-names>
            </name>
            <name name-style="western">
              <surname>Xu</surname>
              <given-names>G</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Mei</surname>
              <given-names>S</given-names>
            </name>
            <name name-style="western">
              <surname>Zhang</surname>
              <given-names>Z</given-names>
            </name>
            <name name-style="western">
              <surname>O'Meara</surname>
              <given-names>M</given-names>
            </name>
            <name name-style="western">
              <surname>O'Gara</surname>
              <given-names>MC</given-names>
            </name>
            <name name-style="western">
              <surname>Tan</surname>
              <given-names>X</given-names>
            </name>
            <name name-style="western">
              <surname>Li</surname>
              <given-names>L</given-names>
            </name>
          </person-group>
          <article-title>The application of meteorological data and search index data in improving the prediction of HFMD: a study of two cities in Guangdong Province, China</article-title>
          <source>Sci Total Environ</source>
          <year>2019</year>
          <volume>652</volume>
          <fpage>1013</fpage>
          <lpage>1021</lpage>
          <pub-id pub-id-type="doi">10.1016/j.scitotenv.2018.10.304</pub-id>
          <pub-id pub-id-type="medline">30380469</pub-id>
          <pub-id pub-id-type="pii">S0048-9697(18)34200-1</pub-id>
        </nlm-citation>
      </ref>
    </ref-list>
  </back>
</article>
