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 R0 being the threshold parameter. When R0<1 the infection-free equilibrium is globally asymptotically stable while when R0>1 the infectious equilibrium is globally asymptotically stable.
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