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

Abstract

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 for the heterogeneous model. Our results show that if , the infection‐free steady state is globally attractive, implying infection becomes extinct, while if , virus will persist in the host environment.