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

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.