Parameters estimation of HIV infection model of CD4＋ T-cells by applying orthonormal Bernstein collocation method  

作　　者：Farshid Mirzaee Nasrin Samadyar 

机构地区：[1]Faculty of Mathematical Sciences and Statistics Malayer University, Malayer 65719-95863, Iran

出　　处：《International Journal of Biomathematics》2018年第2期115-133,共19页生物数学学报（英文版）

摘　　要：The HIV infection model of CD4＋ T-cells corresponds to a class of nonlinear ordinary differential equation systems. In this study, we provide the approximate solution of this model by using orthonormal Bernstein polynomials （OBPs）. By applying the proposed method, the nonlinear system of ordinary differential equations reduces to a nonlinear system of algebraic equations which can be solved by using a suitable numerical method such as Newton＇s method. We prove some useful theorems concerning the convergence and error estimate associated to the present method. Finally, we apply the proposed method to get the numerical solution of this model with the arbitrary initial conditions and values. Furthermore, the numerical results obtained by the suggested method are compared with the results achieved by other previous methods. These results indicate that this method agrees with other previous methods.

关 键 词：HIV infection of CD4＋ T-cells nonlinear system of differential equations Bernstein polynomials convergence analysis. 

分 类 号：O174.41[理学—数学] S858.235.3[理学—基础数学]