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

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

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.

Bibliographic Details
Main Authors: Salem Abdelmalek, Hichem Louafi, Amar Youkana
Format: Article
Language:English
Published: Texas State University 2012-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Gierer-Meinhardt system
Lyapunov functional
activator-inhibitor
Online Access:http://ejde.math.txstate.edu/Volumes/2012/55/abstr.html

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