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Stability and Hopf bifurcation of a HIV infection model with CTL-response delay. (English) Zbl 1232.37045
Summary: 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 $\tau $ 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 $\tau $ crosses a critical value. Numerical simulations are given to support the theoretical results.

37N25Dynamical systems in biology
34K18Bifurcation theory of functional differential equations
34K20Stability theory of functional-differential equations
Full Text: DOI
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