Analysis of an HIV latent infection model with cell-to-cell transmission and multiple drug classes

Abstract

In this paper, we investigate an HIV latent infection model that incorporates cell-to-cell transmission and multiple drug classes, extending the model proposed by Areej Alshorman et al. (2022). We derive the basic reproduction number $R_0$ for the model and establish the existence and local stability of its equilibria. By constructing appropriate Lyapunov functions, we analyze the global stability of these equilibria, with $R_0$ serving as the threshold parameter. Specifically, when $R_0<1$, the infection-free equilibrium is globally asymptotically stable, whereas when $R_0>1$, the infectious equilibrium is globally asymptotically stable.