Modeling cell-to-cell spread of HIV-1 with nonlocal infections
Summary: 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 \(\mathcal R_0\) for the heterogeneous model. Our results show that if \(\mathcal R_0<1\), the infection-free steady state is globally attractive, implying infection becomes extinct, while if \(\mathcal R_0>1\), virus will persist in the host environment.
scientific article; zbMATH DE number 6995057
scientific article