Asymptotic behavior of the basic reproduction number in an age-structured SIS epidemic patch model
1Center for Applied Mathematics, Tianjin University, Tianjin, 300072, China. haokang@tju.edu.cn.
Abstract:
In this paper we consider an age-structured SIS epidemic patch model. We define the principal eigenvalue [Formula: see text], basic reproduction number [Formula: see text] and analyze the effects of the diffusion rate d on [Formula: see text] and [Formula: see text]. More precisely, we investigate their asymptotic behavior for small and large diffusion rates. Finally we study the global behavior of this age-structured SIS epidemic patch model.
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