A hybrid method for solving the model of human immunodeficiency virus infection of CD4+ T cells

Abstract

The present study describes the application of a new method called Laplace Padé Differential Transform Method (LPDTM), which combines Differential Transform Method (DTM) with Laplace-Padé approximation for a system of non-linear ordinary differential equations. A dynamic model of HIV-1 (Human Immunodeficiency Virus - type 1) infection of CD4+ T cells is considered. These CD4+ T cells secrete growth and differentiation factors that are required by other cell population in the immune system, and thus these cells are known as helper T cells. LPDTM is used to prove that the post-treatment power series solution updated by Laplace-Padé re-summation method is a useful strategy to extend the convergence range of the approximate solutions. The main advantage of the proposed method is that it is based on a few simple steps, does not generate secular terms, and does not depend on perturbation parameters.