Analysis on stability of an autonomous dynamics system for sars epidemic
Identifieur interne : 004C55 ( Main/Merge ); précédent : 004C54; suivant : 004C56Analysis on stability of an autonomous dynamics system for sars epidemic
Auteurs : Zhang Shuang-De [République populaire de Chine] ; Hao Hai [République populaire de Chine]Source :
- Applied Mathematics and Mechanics [ 0253-4827 ] ; 2005.
Abstract
An extended dynamic model for SARS epidemic was deduced on the basis of the K-M infection model with taking the density constraint of susceptible population and the cure and death rates of patients into consideration. It is shown that the infection-free equilibrium is the global asymptotic stability under given conditions, and endemic equilibrium is not the asymptotic stability. It comes to the conclusion that the epidemic system is the permanent persistence existence under appropriate conditions.
Url:
DOI: 10.1007/BF02464241
PubMed: NONE
PubMed Central: 7111763
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PMC:7111763Le document en format XML
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R. China</nlm:aff><country xml:lang="fr">République populaire de Chine</country><wicri:regionArea>Basic Department, Medical College of Chinese People's Armed Police, 300162 Tianjin</wicri:regionArea><placeName><settlement type="city">Tianjin</settlement></placeName></affiliation></author><author><name sortKey="Hai, Hao" sort="Hai, Hao" uniqKey="Hai H" first="Hao" last="Hai">Hao Hai</name><affiliation wicri:level="1"><nlm:aff id="Aff1">Basic Department, Medical College of Chinese People's Armed Police, 300162 Tianjin, P. R. China</nlm:aff><country xml:lang="fr">République populaire de Chine</country><wicri:regionArea>Basic Department, Medical College of Chinese People's Armed Police, 300162 Tianjin</wicri:regionArea><placeName><settlement type="city">Tianjin</settlement></placeName></affiliation></author></analytic><series><title level="j">Applied Mathematics and Mechanics</title><idno type="ISSN">0253-4827</idno><idno type="eISSN">1573-2754</idno><imprint><date when="2005">2005</date></imprint></series></biblStruct></sourceDesc></fileDesc><profileDesc><textClass></textClass></profileDesc></teiHeader><front><div type="abstract" xml:lang="en"><p>An extended dynamic model for SARS epidemic was deduced on the basis of the K-M infection model with taking the density constraint of susceptible population and the cure and death rates of patients into consideration. It is shown that the infection-free equilibrium is the global asymptotic stability under given conditions, and endemic equilibrium is not the asymptotic stability. It comes to the conclusion that the epidemic system is the permanent persistence existence under appropriate conditions.</p></div></front><back><div1 type="bibliography"><listBibl><biblStruct></biblStruct><biblStruct></biblStruct><biblStruct><analytic><author><name sortKey="Duo, Wang" uniqKey="Duo W">Wang Duo</name></author><author><name sortKey="Xiaofei, Zhao" uniqKey="Xiaofei Z">Zhao Xiaofei</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Lansun, Chen" uniqKey="Lansun C">Chen Lansun</name></author><author><name sortKey="Jian, Chen" uniqKey="Jian C">Chen Jian</name></author></analytic></biblStruct><biblStruct><analytic><author><name sortKey="Thieme, H R" uniqKey="Thieme H">H R Thieme</name></author></analytic></biblStruct></listBibl></div1></back></TEI></record>Pour manipuler ce document sous Unix (Dilib)
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