Abstract
In this paper, we introduce a discrete time to the model to describe the time between infection of a CD4<TEX>$^{+}$</TEX> T-cells, and the emission of viral particles on a cellular level. We study the effect of the time delay on the stability of the endemically infected equilibrium, criteria are given to ensure that the infected equilibrium is asymptotically stable for all delay. We also obtain the condition for existence of an orbitally asymptotically stable periodic solution.
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