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A delay-differential equation model of HIV infection of $$CD4^+$$ T-cells. (English) Zbl 1078.92042
the authors investigate a delay differential equation model of HIV infection of cells. They study the effect of the time delay on the stability of the endemically infected equilibrium. The results for the existence of an orbitally asymptotically stable periodic solution are obtained.

##### MSC:
 92C50 Medical applications (general) 34K20 Stability theory of functional-differential equations 34K60 Qualitative investigation and simulation of models involving functional-differential equations 34K13 Periodic solutions to functional-differential equations
##### Keywords:
delay differential equation; model of HIV infection
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