A spatial SIS model in heterogeneous environments with vary advective
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.