Threshold dynamics of an HIV infection model with two distinct cell subsets

Abstract In this paper, we study an HIV infection model with two distinct cell subsets, which extends the one proposed by Hill et al. (2018). With the approach of Lyapunov functions, we establish a threshold dynamics with the basic reproduction number R 0 being the threshold parameter. When R 0 1 the infection-free equilibrium is globally asymptotically stable while when R 0 > 1 the infectious equilibrium is globally asymptotically stable.