Invariant regions and existence of global solutions to reaction-diffusion systems without conditions on the growth of nonlinearities

Abstract

This article concerns the existence of global solutions for a coupled 2-component reaction diffusion system with a full matrix diffusion and exponential nonlinearities. We show that some results of global and bounded solutions are established via invariant regions and the Lyapunov functional. A numerical example is used to illustrate our results.

Keywords

• Reaction-diffusion system
• global solution, Lyapunov functional