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An infection age-space structured SIR epidemic model with Neumann boundary condition 期刊名称: Applicable Analysis
北京美食介绍作者: Chekroun, Abdennasr,Kuniya, Toshikazu
年份: 2018年
分类的英语关键词: SIR epidemic model;infection age;diffusion;basic reproduction
金瓶梅2迅雷下载
qq介绍number;global attractivity;35Q92;37N25;92D30
摘要:In this paper, we are concerned with an SIR epidemic model with infection age and spatial diffusion in the ca of Neumann boundary condition. The original model is constructed as a nonlinear age structured system of reaction–diffusion equations. By using the method of characteristics, we reformulate the model into a system of a reaction–diffusion equation and a Volterra integral equation. For the reformulated system, we define the basic reproduction number R0 by the spectral radius of the next generation operator, and show that if R0 1, then the dia in the system is persistent. Moreover,
四年级上册数学日记>新闻学专业under an additional assumption that there exists a finite maximum age of infectiousness, we show the global attractivity of a constant endemic steady state for R0 > 1.
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