An Investigation of the Lengyel-Epstein Reaction-Diffusion System

Abstract

The aim of the work is to study the stability (Local and global) and the bifurcation of the Lengyel-Epstein reaction de§usion system, which results from a certain chemical reaction. Our technique is based on stability theory. We used the Jacobian matrix to study the local stability and Lyapanuv functionals to study the global stability. As for the bifurcation, we take advantage of the Andronov theorem