Mathematical analysis of the global dynamics model for HIV infection of CD4+ T cells with treatment using Adomian Decomposition Approach

Abstract

A compartmental epidemic model proposed by Liancheng and Micheal [1] was investigated. A nonlinear incidence rate and treatment were taken into consideration. The bifurcation method introduced in [2] was being used to perform a bifurcation study, which is predicated on the use of the center manifold theory. The forward bifurcation was discovered. The Adomian Decomposition Method (ADM) was also used to approximate the solution of the problem's nonlinear system of differential equations. The computations were carried out using Maple, and the graphical results are given.