Dynamical analysis of a diffusive SIRS model with general incidence rate

In this paper, we propose a diffusive SIRS model with general incidence rate and spatial heterogeneity. The formula of the basic reproduction number R-0 is given. Then the threshold dynamics, including globally attractive of the disease-free equilibrium and uniform persistence, are established in terms of R-0. Special cases and numerical simulations are presented to support our main results.