Modeling the dynamics of HIV and CD4+CD4+ T cells during primary infection

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+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.