Dynamic Behavior in a HIV Infection Model for the Delayed Immune Response

Dynamic Behavior in a HIV Infection Model for the Delayed Immune Response

Considering full Logistic proliferation of CD4+ T-cells and retarded immune response, we analyze a HIV model in this paper. Global asymptotic stability of the infection-free equilibrium and immune-absent equilibrium is investigated, and Some conditions for Hopf bifurcation around infected equilibriu...

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Hauptverfasser: Wang, Yongzhao, Zhang, Shuangde, Huang, Dongwei, Liu, Hongjie
Format: Tagungsbericht
Sprache:eng
Schlagworte:
Asymptotic stability
Bifurcation
Delayed immune response
Global stability
Human immunodeficiency virus
Immune system
Logistic proliferation
Mathematical model
Stability analysis
Trajectory
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Zusammenfassung:Considering full Logistic proliferation of CD4+ T-cells and retarded immune response, we analyze a HIV model in this paper. Global asymptotic stability of the infection-free equilibrium and immune-absent equilibrium is investigated, and Some conditions for Hopf bifurcation around infected equilibrium to occur are also obtained. Numerical simulating are presented to illustrate the main results, and we can observe the effects of the proliferation rate of CD4+ T-cells for the dynamics of system. This results can explain the complexity of the immune state of AIDS.
ISSN:1948-2914
1948-2922
DOI:10.1109/BMEI.2011.6098720