Modeling and mathematical analysis of some reaction-diffusion systems driven from biology and medicine

Abstract

The work constituting this thesis is a contribution to the modeling and mathematical analysis of reaction-diffusion systems driven from biology and medicine. We are interested in studying the existence of solutions of some parabolic and elliptical models; using techniques based on functional analysis and the method of upper and lower solutions. This work is then composed of six independent chapters, preceded by a general introduction which highlights the art of the subject and the problems addressed