Global dynamics of a HTLV-I infection model with CTL response

摘要

In this paper, a HTLV-I infection model with CTL response is considered. To account for a series of events in infection process, we incorporate a intracellular time delay in the model. We prove that the global dynamics are determined by two threshold parameters $R_0$ and $R_1$, basic reproduction numbers for viral infection and for CTL response, respectively. If $R_0<1$, the infection-free equilibrium $P_0$ is globally asymptotically stable. If $R_1<1 1$, there exists a unique HAM/TSP equilibrium $P_2$, and the equilibrium $P_2$ is asymptotically stable under certain conditions.