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.

HIV-1是人类免疫缺陷病毒（HIV）的一种广泛类型，可导致免疫系统衰竭。最近，研究人员发现干细胞（SC）治疗可以减少与HIV相关的风险，并改善患者的生活。本文介绍了针对HIV-1感染的SC治疗的数学模型。证明了模型的地方平衡点的全局稳定性。为了了解数学模型的机理，使用四阶Runge Kutta（RK4）方法获得了数值解。结果，数值解的图形表明，通过增加HIV-1患者血液免疫系统中CD 4 ⁺ T细胞的数量，干细胞有望治愈HIV-1感染。