Electronic Journal of Differential Equations,
Vol. 2012 (2012), No. 55, pp. 1-8.

Title: Existence of global solutions for a Gierer-Meinhardt system 
       with three equations

Authors: Salem Abdelmalek (Univ. of Batna, Algeria)
         Hichem Louafi    (Univ. of Batna, Algeria)
	 Amar Youkana     (Univ. of Batna, Algeria)

Abstract:
 This articles shows the existence of global solutions for a 
 Gierer-Meinhardt model of three substances described by 
 reaction-diffusion equations with fractional reactions.
 Our technique is based on a suitable Lyapunov functional.
 
Submitted March 22, 2012. Published April 05, 2012.
Math Subject Classifications: 35K57, 92C15.
Key Words: Gierer-Meinhardt system; Lyapunov functional; 
           activator-inhibitor.