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A spatial SIS model in heterogeneous environments with vary advective rate
  • Xiaowei An,
  • xianfa song
Xiaowei An
China People’s Police University
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xianfa song
Tianjin University

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Abstract

We study a spatial susceptible-infected-susceptible(SIS) model in heterogeneous environments with vary advective rate. We establish the asymptotic stability of the unique disease-free equilibrium(DFE) when R0 > 1 and the existence of the endemic equilibrium when R0 < 1. Here R0 is the basic reproduction number. We also discuss the effect of diffusion on the stability of the DFE.