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.

EDO, EDP, mathematical modeling, HIV1 and HIV2.

Received: September 2, 2023; Revised: October 5, 2023; Accepted: October 14, 2023; Published: November 2, 2023

How to cite this article: Boukary BEYI, Famane Kambiré, Zongo Gérard and Gabriel BISSANGA, Intra and extra host mathematical modeling of HIV virus infection dynamics 1, 2, Far East Journal of Dynamical Systems 36(2) (2023), 129-152. http://dx.doi.org/10.17654/0972111823006

This Open Access Article is Licensed under Creative Commons Attribution 4.0 International License

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