Mathematical models for the dynamics of the HIV with antiretroviral treatment interventions and the effect of apoptosis on T-cells

The development of HIV, when evaluated in vivo can be modeled into a system of ordinary differential equations using a deterministic approach. Until now, there is no medicine to cure HIV infection, but there is a treatment that can slow the progression of HIV in the body called Antiretroviral Treatment. The development of HIV, when evaluated in vivo can be modeled into a system of ordinary differential equations using a deterministic approach. In this paper, a mathematical model be formed for the dynamics of HIV in the body with the intervention of Antiretroviral Treatment and take into account the influence of Apoptosis on T-cells. The dynamical system analysis of the model is derived by determining the stability of infectious free equilibrium point and endemic equilibrium point using the Routh-Hurwitz criterion. Numerical simulations are performed to analyze the effects of Antiretroviral Treatment intervention and the impact of Apoptosis on T-cells in inhibiting HIV progression.