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

Shengyu Zhou, Zhixing Hu, Wanbiao Ma and Fucheng Liao

Journal of Applied Mathematics, 2013, vol. 2013, 1-12

Abstract:

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 that the uninfected equilibrium and CTL-absent infection equilibrium are globally asymptotically stable for both 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.

Date: 2013
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:419593

DOI: 10.1155/2013/419593

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