INTRA AND EXTRA HOST MATHEMATICAL MODELING OF HIV VIRUS INFECTION DYNAMICS 1, 2

Abstract

In Burkina Faso, there have been instances of COVID-19 and population displacement due to insecurity and terrorism since 2019 through 2021. These factors may contribute to risky behavior and lower guards against contracting AIDS among the population. Being infected with the HIV virus indicates that the individual is either not receiving treatment or not adhering adequately to medication. To realign the model to reality, it is necessary to improve the understanding of the internal dynamics of the Virus-Lymphocytes T-ARV triplet. This can be achieved through developing a mathematical model that tracks the evolution over time of the distribution of these entities in the organism. In this paper, we present a reaction-diffusion-dissipation model that reflects the internal dynamics of co-infection with HIV1 and HIV2 while taking ARV medications. We then conduct a rigorous mathematical analysis to theoretically justify our model. Received: September 2, 2023Revised: October 5, 2023Accepted: October 14, 2023