Global Existence of Solutions for A Gierer-Meinhardt System with Two Activators and Two Inhibitors

Document Type : Original Article


1 Department of mathematics, University of Tebessa 12002 Algeria.

2 Larbi Tebessi University

3 Department of Electrical Engineering, College of Engineering at Yanbu, Taibah University, Saudi Arabia


This paper deals with a Gierer-Meinhardt model with 2 activators and 2 inhibitors described by a reaction-diffusion system with fractional reactions. The purpose of this paper is to prove the existence of a global solution. Our technique is based on a suitable Lyapunov functional.


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