文章基本信息

标题：Dynamics of an SIR Epidemic Model with Information Variable and Limited Medical Resources Revisited
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作者：Caijuan Yan ; Jianwen Jia ; Zhen Jin 等
期刊名称：Discrete Dynamics in Nature and Society
印刷版ISSN：1026-0226
电子版ISSN：1607-887X
出版年度：2014
卷号：2014
DOI：10.1155/2014/861710
出版社：Hindawi Publishing Corporation
摘要：The stability of the SIR epidemic model with information variable and limited medical resources was studied. When the basic reproduction ratio , there exists the disease-free equilibrium and when the basic reproduction ratio , we obtain the sufficient conditions of the existence of the endemic equilibrium. The local asymptotical stability of equilibrium is verified by analyzing the eigenvalues and using the Routh-Hurwitz criterion. We also discuss the global asymptotical stability of the endemic equilibrium by autonomous convergence theorem. A numerical analysis is given to show the effectiveness of the main results.