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

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  • Shengyu Zhou
  • Zhixing Hu
  • Wanbiao Ma
  • Fucheng Liao

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.

Suggested Citation

  • Shengyu Zhou & Zhixing Hu & Wanbiao Ma & Fucheng Liao, 2013. "Dynamics Analysis of an HIV Infection Model including Infected Cells in an Eclipse Stage," Journal of Applied Mathematics, Hindawi, vol. 2013, pages 1-12, May.
    • Handle: RePEc:hin:jnljam:419593
    DOI: 10.1155/2013/419593
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