Key dynamics from a simple model of HIV infection

Abstract

There have been many models to date describing the interaction of the immune system with HIV. Each presents some aspect or aspects of the immune system believed to play a key role in the disease dynamics. In this study, we again explore the immune interactions

however from a very basic perspective. Our focus is the key first order effects which are necessary for a model of HIV-immune interaction to explain the different stages of disease progression. Our model is a non-linear autonomous ODE system

dependent on several biological parameters. We analyze the global dynamics of the system for different sets of parameters varied within the proper parameter space. We also include numerical simulations of the relevant phase portraits.