V.M. Jimenez-Fernandez

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 · 2014

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...

Open access Research Article 10.9734/BJMCS/2014/7714

New Aspects of Double Bounded Polynomial Homotopy

H. Vazquez-Leal, A. Sarmiento-Reyes, Y. Khan, A. Yıldırım, U. Filobello-Nino, R. Castaneda-Sheissa, A.L. Herrera-May, V.M. Jimenez-Fernandez, S.F. Hernandez-Machuca & L. Cuellar-Hernandez · Journal of Advances in Mathematics and Computer Science · 2013

This work presents some new aspects about the mathematical properties of the double bounded polynomial homotopy like: isolated symmetry branches equation and a study about initial and final points of the path and curvature radius. The application of the homotopy is illustrated by...

Open access Research Article 10.9734/BJMCS/2013/2266