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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