Boundedness and large-time behavior of solutions for a Gierer-Meinhardt system of three equations

The aim of this work is to prove the uniform boundedness and the existence of global solutions for Gierer-Meinhardt model of three substance described by reaction-diffusion equations with Neumann boundary conditions. Based on a Lyapunov functional we establish the asymptotic behaviour of the so...

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Bibliographic Details
Main Authors: Safia Henine, Salem Abdelmalek, Amar Youkana
Format: Article
Language:English
Published: Texas State University 2015-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2015/94/abstr.html