Dynamics of a HIV-1 Infection model with cell-mediated immuneresponse and intracellular delay

Abstract

Abstract. In this paper, we consider a mathematical model for HIV-1 infection with intracellular delay and cell-mediated immune response. A novel feature isthat both cytotoxic Tlymphocytes (CTLs)and the intracellulardelay are incorporated into the model. We obtain a necessary and sufficient condition for the global stability of the infection-free equilibrium and give sufficient conditions for the local stability of the two infection equilibria: one without CTLs being activated and the other with. We also perform some numerical simulations which support the obtained theoretical results. These results show that larger intracellular delay may help eradicate the virus, while the activation of CTLs can only help reduce the virus load and increase the healthy CD + 4 cells population in the long term sense.