Dynamics of an infection model with two delays

In this paper, a HTLV-I infection model with two delays is considered. It is found that the dynamics of this model 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 < R-0, the asymptomatic-carrier equilibrium P-1 is globally asymptotically stable. If R-1 > 1, there exists a unique HAM/TSP equilibrium P-2. The stability of P-2 is changed when the second delay tau(2) varies, that is there exist stability switches for P-2.