1. Stability and Hopf bifurcation of a HIV infection model with CTL-response delay
- Author
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Zhu, Huiyan, Luo, Yang, and Chen, Meiling
- Subjects
- *
HOPF algebras , *STABILITY (Mechanics) , *BIFURCATION theory , *HIV infections , *TIME delay systems , *PARAMETER estimation , *CRITICAL point theory , *NUMERICAL analysis , *SIMULATION methods & models - Abstract
Abstract: In this paper, we consider a HIV infection model with CTL-response delay and analyze the effect of time delay on stability of equilibria. We obtain the global stability of the infection-free equilibrium and give sufficient conditions for the local stability of the CTL-absent equilibrium and CTL-present equilibrium. By choosing the CTL-response delay as a bifurcation parameter, we prove that the CTL-present equilibrium is locally asymptotically stable in a range of delays and a Hopf bifurcation occurs as crosses a critical value. Numerical simulations are given to support the theoretical results. [Copyright &y& Elsevier]
- Published
- 2011
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