## Properties of stability and Hopf bifurcation for a HIV infection model with time delay.(English)Zbl 1193.34152

Summary: We consider the classical mathematical model with saturation response of the infection rate and time delay. By stability analysis we obtain sufficient conditions for the global stability of the infection-free steady state and the permanence of the infected steady state. Numerical simulations are carried out to explain the mathematical conclusions.

### MSC:

 34K20 Stability theory of functional-differential equations 34K18 Bifurcation theory of functional-differential equations 92D30 Epidemiology

### Keywords:

time delay; HIV infection; Hopf bifurcation; global stability
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### References:

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