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- Title
Dynamics Analysis of an HIV Infection Model including Infected Cells in an Eclipse Stage.
- Authors
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.
- Subjects
HIV infections; CELL physiology; EQUILIBRIUM; MATHEMATICAL models; HOPF bifurcations; DYNAMIC data exchange; COMPUTER simulation
- Publication
Journal of Applied Mathematics, 2013, p1
- ISSN
1110-757X
- Publication type
Article
- DOI
10.1155/2013/419593