Dynamics of a nonlocal viral infection model with spatial heterogeneity and general incidence

This paper is concerned with a nonlocal within-host viral infection model with general incidence in a spatially heterogeneous environment. We first establish the well-posedness, boundedness and asymptotic compactness of this model. The basic reproduction number ℛ_0 is defined by using the perturbation technique. Then we study global stability of the infection-free steady state and show that the system is uniformly persistent when ℛ_0>1 . In addition, for a special incidence function, the existence, uniqueness and global stability of the infection steady state of this model are established. Finally, we present some examples and numerical simulations to illustrate the obtained results.