The human immunodeficiency virus (HIV-1) is a prevalent kind of human immunodeficiency virus (HIV) that causes immune system failure. Researchers recently revealed that stem cell (SC) therapy can help to improve the quality of patient life. In this paper, we present the mathematical model for HIV-1, which incorporates the rate of multiplying uninfected of ??4 +T-cells through mitosis and stem cell treatment, as well as the diffusion effect. The considered mathematical model is a system of partial differential equations. The paper studied the model theoretically through the equilibrium points and basic reproduction number. In order to comprehend the mechanics of the mathematical model, the finite difference method was used to get a numerical solution.

Author: Ahlam S Al-johani

Published in: Ireland International Conference on Education (IICE-2022)

• Date of Conference: 26-28 April 2022
• DOI: 10.20533/IICE.2022.0009
• ISBN: 978-1-913572-46-4
• Conference Location: Virtual (Dún Laoghaire, Ireland)