<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>In 2015, Shijun Liao introduced a new method of directly defining the inverse mapping (MDDiM) to approximate analytically a nonlinear differential equation. This method, based on the Homotopy Analysis Method (HAM) was proposed to reduce the time it takes in solving a nonlinear equation. Very recently, Dewasurendra, Baxter and Vajravelu (Applied Mathematics and Computation 339 (2018) 758–767) extended the method to a system of two nonlinear differential equations. In this paper, we extend it further to obtain the solution to a system of three nonlinear differential equations describing the HIV infection of CD4+ T-cells. In addition, we analyzed the advantages of MDDiM over HAM, in obtaining the numerical results. From these results, we noticed that the infected CD4+ T-cell density increases with the number of virions N; but decreases with the blanket death rate <italic>μ<sub>I</sub></italic>.</p>
</abstract>

In 2015, Shijun Liao introduced a new method of directly defining the inverse mapping (MDDiM) to approximate analytically a nonlinear differential equation. This method, based on the Homotopy Analysis Method (HAM) was proposed to reduce the time it takes in solving a nonlinear equation. Very recently, Dewasurendra, Baxter and Vajravelu (Applied Mathematics and Computation 339 (2018) 758–767) extended the method to a system of two nonlinear differential equations. In this paper, we extend it further to obtain the solution to a system of three nonlinear differential equations describing the HIV infection of CD4+ T-cells. In addition, we analyzed the advantages of MDDiM over HAM, in obtaining the numerical results. From these results, we noticed that the infected CD4+ T-cell density increases with the number of virions N; but decreases with the blanket death rate μI.

A Method of Directly Defining the inverse Mapping for a HIV infection of CD4+ T-cells model

Applied Mathematics and Nonlinear Sciences

This work is licensed under the Creative Commons Attribution 4.0 International License.

In 2015, Shijun Liao introduced a new method of directly defining the inverse mapping (MDDiM) to approximate analytically a nonlinear differential equation....

A Method of Directly Defining the inverse Mapping for a HIV infection of CD4+ T-cells model

Published Online: Oct 15, 2020

Page range: 469 - 482

Received: Aug 07, 2019

Accepted: Oct 06, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00035

Keywords
HIV infection model, directly defining inverse mapping, coupled nonlinear system, analytical method, homotopy analysis method, series solution

© 2019 Mangalagama Dewasurendra et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

A Method of Directly Defining the inverse Mapping for a HIV infection of CD4+ T-cells model

Published Online: Oct 15, 2020

Page range: 469 - 482

Received: Aug 07, 2019

Accepted: Oct 06, 2019

DOI: https://doi.org/10.2478/amns.2020.2.00035

KeywordsHIV infection model, directly defining inverse mapping, coupled nonlinear system, analytical method, homotopy analysis method, series solution

© 2019 Mangalagama Dewasurendra et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Keywords
HIV infection model, directly defining inverse mapping, coupled nonlinear system, analytical method, homotopy analysis method, series solution