Safia Henine, Salem Abdelmalek, Amar Youkana
Abstract:
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 solutions.
Submitted January 8, 2015. Published April 14, 2015.
Math Subject Classifications: 35K57.
Key Words: Gierer-Meinhardt system; Lyapunov functional; Uniform boundedness.
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| Safia Henine Department of Mathematics University of Batna 05000, Algeria email: henine.safia@yahoo.fr | |
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Salem Abdelmalek Department of Mathematics, College of Sciences Yanbu Taibah University, Saudi Arabia. email: sabdelmalek@taibahu.edu.sa |
| Amar Youkana Department of Mathematics University of Batna 05000, Algeria email: youkana_amar@yahoo.fr |
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