A numerical method for the solutions of the HIV infection model of CD4＋ T-cells  

作　　者：Suayip Yuzbasi Nurbol Ismailov 

机构地区：[1]Department of Mathematics Akdeniz University, Antalya 07058, Turkey

出　　处：《International Journal of Biomathematics》2017年第7期141-156,共16页生物数学学报（英文版）

摘　　要：In this paper, the human immunodeficiency virus （HIV） infection model of CD4＋ T-cells is considered. In order to numerically solve the model problem, an operational method is proposed. For that purpose, we construct the operational matrix of integration for bases of Taylor polynomials. Then, by using this matrix operation and approximation by polynomials, the HIV infection problem is transformed into a system of algebraic equations, whose roots are used to determine the approximate solutions. An important feature of the method is that it does not require collocation points. In addition, an error estimation technique is presented. We apply the present method to two numerical examples and compare our results with other methods.

关 键 词：HIV infection model of CD4＋ T-cells systems of nonlinear differential equa-tions Taylor operational method numerical solutions. 

分 类 号：G0[文化科学]