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Modeling the dynamics of HIV and \(CD4^{+}\)T cells during primary infection. (English) Zbl 1181.37122

Summary: A mathematical model for the dynamics of HIV primary infection is proposed and analysed for the stability of infected state. Further, as there is a time delay for infected \(CD4^{+}\) T cells to become actively infected, a model is proposed to consider this time delay. The local stability of the delay model is discussed and results are shown numerically. It is found that the delay has no effect on the dynamics of HIV in the proposed model.

MSC:

37N25 Dynamical systems in biology
92D30 Epidemiology
92C37 Cell biology
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