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Journal of Applied Mathematics
Volume 2013, Article ID 419593, 12 pages
Research Article

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

Department of Applied Mathematics, University of Science and Technology Beijing, Beijing 100083, China

Received 28 January 2013; Accepted 31 March 2013

Academic Editor: Junjie Wei

Copyright © 2013 Shengyu Zhou et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.