I got my doctorate in Applied Mathematics from Polytechnic University of Valencia, Institute of Multidisciplinary Mathematics, Valencia, Spain. Thesis Title: Mathematical modelling of virus RSV: Qualitative properties, numerical solutions and validation for the case of the region of Valencia, Doctoral Thesis Cum Laude, May 2009. Adviser: Ph.D Lucas Antonio Jódar Sánchez. Master in Mathematics, National of Colombia University, Medellín, Colombia. Thesis Title: Numerical solution of inverse problem by Discrete Mollification, July 1998. Adviser: Ph.D Carlos Enrique Mejía Salazar. Bachelor in Mathematics and Physics, University of Cordoba, Montería, Córdoba, Colombia. July 1987. My main scientific research can be divided into the following three broad categories: Differential equations. I am interested in the formulation, analysis and implementation of new techniques for the study of the behavior of solutions of new models. Numerical Analysis: Numerical Solution of Ordinary and Partial Differential Equations, using Standard and Nonstandard Finite Difference Methods, which come from the modeling of problems of mathematical physics, engineering or science. Mathematical Biology: I am also interested in mathematical modeling and theoretical analysis of biological phenomena. Developing of epidemiological model for identification of threshold parameters.