All over the world, people are facing the challenge of HIV as it affects the person suffering from it, the communities and the economy of society also. A lot of work has been done on different aspects of this dangerous disease by many researchers. Our task in this work is to lighten the ignorant aspect of this disease and to provide a continuous future prediction for the spread of this virus on a larger domain. For this purpose, a modification has been done in the mathematical model of HIV $CD4+T$-cells. And a semi-analytical technique has been applied on the system of nonlinear differential equations, governing the human immunodeficiency virus i-e HIV infection, of $CD4+T$-cells, to get convergent and continuous solutions. Graphical results and residual error for the solution of the nonlinear system of differential equations are also given.

在世界各地，人们都面临着艾滋病毒的挑战，因为它影响着遭受艾滋病毒感染者，社区和社会经济。许多研究人员已经在这一危险疾病的不同方面进行了大量工作。我们在这项工作中的任务是减轻这种疾病的无知方面，并为该病毒在更大范围内的传播提供连续的未来预测。为此，已经对艾滋病毒的数学模型进行了修改。$Cd4+Ť$-细胞。并将半分析技术应用于非线性微分方程组，以控制人类免疫缺陷病毒即HIV感染。$Cd4+Ť$-单元，以获得收敛和连续的解决方案。还给出了非线性方程组解的图形结果和残差。