Multistage HPM Applied to Path Tracking Damped Oscillations of a Model for HIV Infection of CD4+ T Cells

The behavior of CD4+ T cells infection is modeled by a differential equation system with no exact analytical solution. This work proposes the application of Multistage Homotopy Perturbation Method (MuHPM) to track the path of damped oscillations in the evolution of HIV infection in CD4+ T cells. In addition, the paper presents the results which compare the following methods: MuHPM, Modied Variational Iteration Method (MVIM) and HPM, and showing that MuHPM analytical-numerical method is more precise than the other methods, reaching to an adequately plot 70 days of the progress of infection instead of the 0.8 days and 2 days attained by HPM and MVIM methods respectively.