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SARS epidemical forecast research in mathematical model

Identifieur interne : 001513 ( Pmc/Checkpoint ); précédent : 001512; suivant : 001514

SARS epidemical forecast research in mathematical model

Auteurs : Ding Guanghong ; Liu Chang ; Gong Jianqiu ; Wang Ling ; Cheng Ke ; Zhang Di

Source :

RBID : PMC:7089478

Abstract

The SIJR model, simplified from the SEIJR model, is adopted to analyze the important parameters of the model of SARS epidemic such as the transmission rate, basic reproductive number. And some important parameters are obtained such as the transmission rate by applying this model to analyzing the situation in Hong Kong, Singapore and Canada at the outbreak of SARS. Then forecast of the transmission of SARS is drawn out here by the adjustment of parameters (such as quarantined rate) in the model. It is obvious that inflexion lies on the crunode of the graph, which indicates the big difference in transmission characteristics between the epidemic under control and not under control. This model can also be used in the comparison of the control effectiveness among different regions. The results from this model match well with the actual data in Hong Kong, Singapore and Canada and as a by-product, the index of the effectiveness of control in the later period can be acquired. It offers some quantitative indexes, which may help the further research in epidemic diseases.


Url:
DOI: 10.1360/04we0073
PubMed: 32214715
PubMed Central: 7089478


Affiliations:


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PMC:7089478

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<p>The SIJR model, simplified from the SEIJR model, is adopted to analyze the important parameters of the model of SARS epidemic such as the transmission rate, basic reproductive number. And some important parameters are obtained such as the transmission rate by applying this model to analyzing the situation in Hong Kong, Singapore and Canada at the outbreak of SARS. Then forecast of the transmission of SARS is drawn out here by the adjustment of parameters (such as quarantined rate) in the model. It is obvious that inflexion lies on the crunode of the graph, which indicates the big difference in transmission characteristics between the epidemic under control and not under control. This model can also be used in the comparison of the control effectiveness among different regions. The results from this model match well with the actual data in Hong Kong, Singapore and Canada and as a by-product, the index of the effectiveness of control in the later period can be acquired. It offers some quantitative indexes, which may help the further research in epidemic diseases.</p>
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<article-title>SARS epidemical forecast research in mathematical model</article-title>
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<name>
<surname>Guanghong</surname>
<given-names>Ding</given-names>
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<email>ghding@fudan.edu.cn</email>
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<surname>Chang</surname>
<given-names>Liu</given-names>
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<name>
<surname>Jianqiu</surname>
<given-names>Gong</given-names>
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<name>
<surname>Ling</surname>
<given-names>Wang</given-names>
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<name>
<surname>Ke</surname>
<given-names>Cheng</given-names>
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<surname>Di</surname>
<given-names>Zhang</given-names>
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<institution-id institution-id-type="GRID">grid.8547.e</institution-id>
<institution-id institution-id-type="ISNI">0000000101252443</institution-id>
<institution>Department of Mechanics and Engineering Science, Shanghai Research Center of Acupuncture and Meridians,</institution>
<institution>Fudan University,</institution>
</institution-wrap>
200433 Shanghai, China</aff>
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<pub-date pub-type="epub">
<day>22</day>
<month>3</month>
<year>2013</year>
</pub-date>
<pub-date pub-type="ppub">
<year>2004</year>
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<volume>49</volume>
<issue>21</issue>
<fpage>2332</fpage>
<lpage>2338</lpage>
<history>
<date date-type="received">
<day>5</day>
<month>4</month>
<year>2004</year>
</date>
<date date-type="accepted">
<day>9</day>
<month>9</month>
<year>2004</year>
</date>
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<copyright-statement>© Science in China Press 2004</copyright-statement>
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<license-p>This article is made available via the PMC Open Access Subset for unrestricted research re-use and secondary analysis in any form or by any means with acknowledgement of the original source. These permissions are granted for the duration of the World Health Organization (WHO) declaration of COVID-19 as a global pandemic.</license-p>
</license>
</permissions>
<abstract id="Abs1">
<p>The SIJR model, simplified from the SEIJR model, is adopted to analyze the important parameters of the model of SARS epidemic such as the transmission rate, basic reproductive number. And some important parameters are obtained such as the transmission rate by applying this model to analyzing the situation in Hong Kong, Singapore and Canada at the outbreak of SARS. Then forecast of the transmission of SARS is drawn out here by the adjustment of parameters (such as quarantined rate) in the model. It is obvious that inflexion lies on the crunode of the graph, which indicates the big difference in transmission characteristics between the epidemic under control and not under control. This model can also be used in the comparison of the control effectiveness among different regions. The results from this model match well with the actual data in Hong Kong, Singapore and Canada and as a by-product, the index of the effectiveness of control in the later period can be acquired. It offers some quantitative indexes, which may help the further research in epidemic diseases.</p>
</abstract>
<kwd-group xml:lang="en">
<title>Keywords</title>
<kwd>SARS</kwd>
<kwd>quarantined rate</kwd>
<kwd>transmission rate</kwd>
<kwd>basic reproductive number</kwd>
<kwd>SIJR model</kwd>
<kwd>SEIJR model</kwd>
<kwd>inflexion</kwd>
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<meta-value>© Science in China Press 2004</meta-value>
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<name sortKey="Chang, Liu" sort="Chang, Liu" uniqKey="Chang L" first="Liu" last="Chang">Liu Chang</name>
<name sortKey="Di, Zhang" sort="Di, Zhang" uniqKey="Di Z" first="Zhang" last="Di">Zhang Di</name>
<name sortKey="Guanghong, Ding" sort="Guanghong, Ding" uniqKey="Guanghong D" first="Ding" last="Guanghong">Ding Guanghong</name>
<name sortKey="Jianqiu, Gong" sort="Jianqiu, Gong" uniqKey="Jianqiu G" first="Gong" last="Jianqiu">Gong Jianqiu</name>
<name sortKey="Ke, Cheng" sort="Ke, Cheng" uniqKey="Ke C" first="Cheng" last="Ke">Cheng Ke</name>
<name sortKey="Ling, Wang" sort="Ling, Wang" uniqKey="Ling W" first="Wang" last="Ling">Wang Ling</name>
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