Global Existence, Asymptotic Stability and Numerical Simulation for Reaction-Diffusion Systems with Exponential Nonlinearity on Growing Domains

Abstract

This paper primarily seeks to extend the results of Rebiai and Benachour [10] on the global existence, uniqueness, uniform boundedness, and the asymptotic behavior of solutions for a weakly coupled reaction-diffusion systems with exponential nonlinearity on a growing domain with an isotropic growth, the desired results are obtained by using Lyapunov functions’ method. The theoretical findings are supported and affirmed by numerical simulation.