Mathematical Analysis for the Behavior of the HIV Dynamics in a Periodic Environment

In this paper, we propose and study an HIV dynamics model that considers three ways of infection, as well as general transmission and neutralization rates in a periodic environment. The model accounts for both latently and productively infected cells. General nonlinear functions are given for the incident rates of infection and the neutralization rates of infected cells and viruses. The basic infection reproduction number, which is the spectral radius of an integral operator, determines the model’s global dynamics. We have analyzed the model’s asymptotic stability as the value of the basic reproduction number approaches unity. The numerical simulations carried out across three different scenarios support the findings of the theoretical investigation.