Global Dynamics of a HIV Infection Model with Delayed CTL Response and Cure Rate

Abstract:

In this paper, we have considered a viral infection model with delayed CTL response and cure rate. For this model, we have researched the stability of these three equilibriums depend on two threshold parameters and , that is, if , the infected-free equilibrium is locally asymptotically stable; if , the infected equilibrium without CTL response is globally asymptotically stable; and if , the infected equilibrium exists, at he same time, we have found that the time delay can lead to Hopf bifurcations and stable periodic solutions when the is unstable.

• Periodical: Advanced Materials Research (Volumes 791-793)
• Pages: 1322-1327
• DOI: https://doi.org/10.4028/www.scientific.net/AMR.791-793.1322
• Online since: September 2013
• Authors: Yan Yan Yang, Hui Wang, Zhi Xing Hu, Wan Biao Ma
• Keywords: CTL Response, Cure Rate, Delay, Hopf Bifurcation, Stability

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