stability and hopf bifurcation in a delayed hiv infection model with general incidence rate and immune impairment

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ID: 187387
2015
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Abstract
We investigate the dynamical behavior of a delayed HIV infection model with general incidence rate and immune impairment. We derive two threshold parameters, the basic reproduction number R0 and the immune response reproduction number R1. By using Lyapunov functional and LaSalle invariance principle, we prove the global stability of the infection-free equilibrium and the infected equilibrium without immunity. Furthermore, the existence of Hopf bifurcations at the infected equilibrium with CTL response is also studied. By theoretical analysis and numerical simulations, the effect of the immune impairment rate on the stability of the infected equilibrium with CTL response has been studied.
Reference Key
li2015computationalstability Use this key to autocite in the manuscript while using SciMatic Manuscript Manager or Thesis Manager
Authors ;Fuxiang Li;Wanbiao Ma;Zhichao Jiang;Dan Li
Journal advanced functional materials
Year 2015
DOI
10.1155/2015/206205
URL
http://dx.doi.org/10.1155/2015/206205
Keywords
medical informatics computer applications to medicine

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