Skip to content
Research Article Open access CC BY 3.0

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

H. Vazquez-Leal, L. Hernandez-Martinez, Y. Khan, V.M. Jimenez-Fernandez, U. Filobello-Nino, A. Diaz-Sanchez, A. L. Herrera-May, R. Castaneda-Sheissa, A. Marin-Hernandez, F. Rabago-Bernal, J. Huerta-Chua

Journal of Advances in Mathematics and Computer Science · pp. 1035–1047 · Published 17 Feb 2014

10.9734/BJMCS/2014/7714

Abstract

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.

HIV model Homotopy Perturbation Method Multistage HPM.

Cited by 14

ANALYSIS OF THE DYNAMICS OF HIV AND THE IMMUNE SYSTEM UNDER THE EFFECT OF DRUGS THROUGH A FRACTIONAL FRAMEWORK

RASHID JAN, NORMY NORFIZA ABDUL RAZAK, MUFDA ALRAWASHDEH · Fractals · 2025

Fractional Dynamics of HIV with Source Term for the Supply of New CD4+ T-Cells Depending on the Viral Load via Caputo–Fabrizio Derivative

Zahir Shah, Rashid Jan, Poom Kumam · Molecules · 2021

Exploring the dynamics of HIV and CD4+ T-cells with non-integer derivatives involving nonsingular and nonlocal kernel

Meshal Shutaywi, Zahir Shah, Narcisa Vrinceanu · Scientific Reports · 2024

A higher order Galerkin time discretization scheme for the novel mathematical model of COVID-19

Attaullah, Muhammad Jawad, Sultan Alyobi · AIMS Mathematics · 2023

Extension of Laplace transform–homotopy perturbation method to solve nonlinear differential equations with variable coefficients defined with Robin boundary conditions

U. Filobello-Nino, H. Vazquez-Leal, Yasir Khan · Neural Computing and Applications · 2015

A robust study to conceptualize the interactions of CD4 + T-cells and human immunodeficiency virus via fractional-calculus

Tao-Qian Tang, Zahir Shah, Rashid Jan · Physica Scripta · 2021

A Higher-Order Galerkin Time Discretization and Numerical Comparisons for Two Models of HIV Infection

Attaullah, Şuayip Yüzbaşı, Sultan Alyobi · Computational and Mathematical Methods in Medicine · 2022

Nonlinearities distribution Laplace transform-homotopy perturbation method

Uriel Filobello-Nino, Hector Vazquez-Leal, Brahim Benhammouda · SpringerPlus · 2014

A Fractional Perspective on the Dynamics of HIV, Considering the Interaction of Viruses and Immune System with the Effect of Antiretroviral Therapy

Tao-Qian Tang, Rashid Jan, Hassan Ahmad · Journal of Nonlinear Mathematical Physics · 2023

Modeling the dynamical behavior of the interaction of T-cells and human immunodeficiency virus with saturated incidence

Salah Boulaaras, Rashid Jan, Amin Khan · Communications in Theoretical Physics · 2024

Related research

Article metrics

Real usage data collected on this platform.

0

Page views

0

PDF downloads

0

Outbound clicks

14

Citations

Views by country

Approximate, from request IP at view time — not citizenship or institution. Countries with fewer than 5 views are grouped as "Other".

No views recorded yet.

Traffic sources

Referring site, by host.

No traffic recorded yet.

Views and downloads exclude known bots/crawlers. Citations combines this platform's own DOI-resolved index with each external source's own reported total — see Cited by above for individually listed citing works. Last refreshed 0 seconds ago.