Multistage HPM Applied to Path Tracking Damped Oscillations of a Model for HIV Infection of CD4+ T Cells
H. Vazquez-Leal *
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltr ´an S/N, Xalapa, Veracruz, M´exico C.P. 91000, M´exico.
L. Hernandez-Martinez
National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. Mar´Ä±a Tonantzintla 72840, Puebla, M´exico.
Y. Khan
Department of Mathematics, Zhejiang University, Hangzhou 310027, China.
V.M. Jimenez-Fernandez
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltr ´an S/N, Xalapa, Veracruz, M´exico C.P. 91000, M´exico.
U. Filobello-Nino
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltr ´an S/N, Xalapa, Veracruz, M´exico C.P. 91000, M´exico.
A. Diaz-Sanchez
National Institute for Astrophysics, Optics and Electronics, Luis Enrique Erro #1, Sta. Mar´Ä±a Tonantzintla 72840, Puebla, M´exico.
A. L. Herrera-May
Micro and Nanotechnology Research Center, Universidad Veracruzana, Calzada Ruiz Cortines 455, Boca del Rio 94292, Veracruz, M´exico.
R. Castaneda-Sheissa
Electronic Instrumentation and Atmospheric Sciences School, Universidad Veracruzana, Cto. Gonzalo Aguirre Beltr ´an S/N, Xalapa, Veracruz, M´exico C.P. 91000, M´exico.
A. Marin-Hernandez
Department of Artificial Intelligence, Universidad Veracruzana, Sebastin Camacho No. 5, Centro, 91000, Xalapa, Veracruz, M´exico.
F. Rabago-Bernal
Institute of Physics, Autonomous University of San Luis Potosi 78000, San Luis Potosi, SLP, M´exico
J. Huerta-Chua
Civil Engineering School, Universidad Veracruzana, Venustiano Carranza S/N, Col. Revolucion, 93390, Poza Rica, Veracruz, M´exico.
*Author to whom correspondence should be addressed.
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.
Keywords: HIV model, Homotopy Perturbation Method, Multistage HPM.