Global stability and numerical simulation of a mathematical model of stem cells therapy of HIV-1 infection

HIV-1 is a widespread type of the human immunodeficiency virus (HIV) which causes immune system failure. Recently, researchers found that stem cell (SC) therapy can reduce the risks associated with HIV and improve the patient's life. This article presents a mathematical model of SC therapy for the HIV-1 infection. Global stability at the endemic equilibrium point of the model is proven. Numerical solutions using the 4th order Runge Kutta (RK4) method are obtained in order to understand the mechanism of the mathematical model. As a result, the graphing of the numerical solution demonstrated that stem cells give hope to a cure of HIV-1 infection by increasing the number of CD4(+)T cells in the immune system of HIV-1 patient's blood. (C) 2020 Elsevier B.V. All rights reserved.