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

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  • Salem Abdelmalek1,
  • Abdelouahab Gouadria2,
  • Samir Bendoukha3,
  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

Published in Issue 2025-11-09

How to Cite

Global Existence of Solutions for A Gierer-Meinhardt System with Two Activators and Two Inhibitors. (2025). Communications in Nonlinear Analysis, 7(1). https://oiccpress.com/cna/article/view/17927

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Abstract

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.

Keywords

  • Reaction--diffusion system,
  • Gierer-Meinhardt,
  • Global existence of solutions,
  • Lyapunov functional
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References

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