Stability And Hopf Bifurcation Of A Model For HIV Of CD4+T Cells

In the paper, a mathematical model described human immunodeficiency virus (HIV) infection of CD4+ T-cells isestablished and studied, the existence and stability of the unin-fected steady state and the infected steady state are discussed. Further, the corresponding delay-differential equation model is considered, and conditions for the infected equilibrium to be asymptotically stable for all delay are obtained. Meanwhile, the effect of the time delay on the stability of the infected steady state and the existence of Hopf bifurcation are investi-gated, and the estimation of the length of delay to preserve stability is perfermed. Numerical simulations are carried out to explain the mathematical conclusions.