Modeling Cell-to-Cell Spread of HIV-1 with Nonlocal Infections

Abstract EN

This paper is devoted to develop a nonlocal and time-delayed reaction-diffusion model for HIV infection within host cell-to-cell viral transmissions.

In a bounded spatial domain, we study threshold dynamics in terms of basic reproduction number R0 for the heterogeneous model.

Our results show that if R0<1, the infection-free steady state is globally attractive, implying infection becomes extinct, while if R0>1, virus will persist in the host environment.