Dynamics Analysis of an HIV Infection Model including Infected Cells in an Eclipse Stage

Dynamics Analysis of an HIV Infection Model including Infected Cells in an Eclipse Stage

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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 luxury tempaper wallpaper 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 that the uninfected equilibrium and CTL-absent infection equilibrium are globally asymptotically stable for both concrete fire table hidden propane tank ODE 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.