Stability and Hopf Bifurcation for a HIV Infection Model with Delayed Immune Response

Abstract:

In this paper, a class of HIV infection model with delayed immune response has been studied. We analyze the global asymptotic stability of the viral free equilibrium, and the stability and Hopf bifurcation of the infected equilibrium have been studied. Numerical simulations are carried out to explain the results of the analysis, and the change of the immune response of CTLs infects stability of system. These results can explain the complexity of the immune state of AIDs.

• Periodical: Advanced Materials Research (Volumes 641-642)
• Pages: 808-811
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.641-642.808
• Online since: January 2013
• Authors: Xiao Zhang, Dong Wei Huang, Yong Feng Guo
• Keywords: Delayed Immune Response, HIV Infection Model, Hopf Bifurcation, Stability

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