Abstract
In this article, homotopy perturbation method is implemented to give approximate and analytical solutions of nonlinear ordinary differential equation systems such as human Tcell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells model. The proposed scheme is based on homotopy perturbation method (HPM), Laplace transform and Padé approximants. The results to get the homotopy perturbation method (HPM) is applied Padé approximants. Our proposed approach showed results to analytical solutions of nonlinear ordinary differential equation systems. Some plots are presented to show the reliability and simplicity of the methods.
Highlights
Dynamics of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells is examined [3] at the study
The motivation of this paper is to extend the application of the analytic homotopyperturbation method (HPM) [8,9] and Padé approximants [1] to solve of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells (1)
In this paper, we have presented an after treatment technique for the homotopy perturbation method
Summary
Dynamics of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells is examined [3] at the study. A technique for calculating the analytical solutions of nonlinear ordinary differential equation systems is developed in this paper. The developed technique depends only on the fundamental operation properties of Laplace transform and Padé approximants. Padeapproximant [2] approximates a function by the ratio of two polynomials. The motivation of this paper is to extend the application of the analytic homotopyperturbation method (HPM) [8,9] and Padé approximants [1] to solve of human T-cell lymphotropic virus I (HTLV-I) infection of CD4+ T-cells (1). The first connection between series solution methods such as an Adomian decomposition method and Padé approximants was established in [6]. Like HIV, HTLV-I targets CD4+ T-cells, the most abundant white cells in the immune system, decreasing the body’s ability to fight infection
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