Spatial dynamics of a two-strain epidemic model with nonlocal dispersal

This article studies a nonlocal dispersal two-strain epidemic model with Neumann boundary condition in a heterogeneous environment. We define the basic reproduction number for this model and demonstrate that the disease will persist if the basic reproduction number is bigger than one, but will diminish otherwise. We also investigate the competitive exclusion of two strains in various local distributions of transmission and recovery rates. Furthermore, we study the boundedness and existence of the coexist endemic steady-state solution of this model with respect to the nonlocal dispersal rates. Particularly, it is found that, in comparison to the models with random diffusion, two strains with nonlocal dispersal are more liable to coexist, and the disease are more difficult to be controlled via reducing the movement of individuals.