In this paper, an HIV infection model including an eclipse stage of infected cells is considered.Some quicker cells in this stage become productively infected cells, a portion of these cells are reverted to the uninfected class, and others will be latent down in the body.We consider CTL-response delay in this model and analyze the effect of time delay on stability of equilibrium.It is shown read more that the uninfected equilibrium and CTL-absent infection equilibrium are globally asymptotically stable for both ODE read more and DDE model.
And we get the global stability of the CTL-present equilibrium for ODE model.For DDE model, we have proved that the CTL-present equilibrium is locally asymptotically stable in a range of delays and also have studied the existence of Hopf bifurcations at the CTL-present equilibrium.Numerical simulations are carried out to support our main results.