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 Article10.9734/BJMCS/2014/7714
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 Article10.9734/BJMCS/2013/2266
H. Vazquez-Leal, A. Sarmiento-Reyes, U. Filobello-Nino, Y. Khan, A. L. Herrera-May, R. Castaneda-Sheissa, V. M. Jimenez-Fernandez, M. Vargas-Dorame & J. Sanchez-Orea·Journal of Advances in Mathematics and Computer Science·2013
The increase of complexity on integrated circuits has also raised the demand for new testing methodologies capable to detect functional failures within circuits before they reach the market. Hence, this work proposes to explore the use of homotopy as a tool for testing a basic an...
Open access
Research Article10.9734/BJMCS/2013/3116
H. Vazquez-Leal, R. Castaneda-Sheissa, A. Yıldırım, Y. Khan, A. Sarmiento-Reyes, V. Jimenez-Fernandez, A.L. Herrera-May, U. Filobello-Nino, F. Rabago-Bernal & C. Hoyos-Reyes·Journal of Advances in Mathematics and Computer Science·2012
The microelectronics area constantly demands better and improved circuit simulation tools. This is the reason that this article is to present a biparameter homotopy with automated stop criterion, which is applied to direct current simulation of multistable circuits. This homotopy...
Open access
Research Article10.9734/BJMCS/2012/1346