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Global Analysis on an HIV-1 Infection Model with Intracellular Delay

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4 Author(s)
Yongzhao Wang ; Sch. of Sci., Tianjin Polytech. Univ., Tianjin, China ; Shuangde Zhang ; Dongwei Huang ; Hongjie Liu

We study the global stability of an HIV-1 model that takes into account Beddington-DeAngelis infection rate and an intracellular delay denoting the lag between the time of the virus contacts the target cell and the time of the cell becomes actively infected. By constructing Lyapunov functionals and LaSalle invariant principle, we show the global asymptotic stability of the infection-free and infected equilibrium. The results imply that the steady states are always globally asymptotically stable and offer guidance for developing new drugs to control HIV-1.

Published in:

Computer Science and Society (ISCCS), 2011 International Symposium on

Date of Conference:

16-17 July 2011