Global dynamics of a HIV infection model with delayed CTL response and cure rate

摘要

In this paper, we have considered a viral infection model with delayed CTL response and cure rate. For this model, we have researched the stability of these three equilibriums depend on two threshold parameters R_0 and R1, that is, if R_0<1, the infected-free equilibrium E_0 is locally asymptotically stable; if R_1 < 1 < R_ 0, the infected equilibrium without CTL response E_1 is globally asymptotically stable; and if 1