Global Solutions for an -Component System of Activator-Inhibitor Type

Global Solutions for an -Component System of Activator-Inhibitor Type

This paper deals with a reaction-diffusion system with fractional reactions modeling -substances into interaction following activator-inhibitor's scheme. The existence of global solutions is obtained via a judicious Lyapunov functional that generalizes the one introduced by Masuda and Takahashi...

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Main Authors: S. Abdelmalek, A. Gouadria, A. Youkana
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/939405
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spelling doaj-76dce2851b7e4faba22ce95df57844c72020-11-24T22:41:34ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/939405939405Global Solutions for an -Component System of Activator-Inhibitor TypeS. Abdelmalek0A. Gouadria1A. Youkana2Department of Mathematics, College of Sciences, Taibah University, Yanbu, Saudi ArabiaDepartment of Mathematics, University of Batna, 05000 Batna, AlgeriaDepartment of Mathematics, University of Batna, 05000 Batna, AlgeriaThis paper deals with a reaction-diffusion system with fractional reactions modeling -substances into interaction following activator-inhibitor's scheme. The existence of global solutions is obtained via a judicious Lyapunov functional that generalizes the one introduced by Masuda and Takahashi.http://dx.doi.org/10.1155/2013/939405
collection DOAJ
language English
format Article
sources DOAJ
author S. Abdelmalek
A. Gouadria
A. Youkana
spellingShingle S. Abdelmalek
A. Gouadria
A. Youkana
Global Solutions for an -Component System of Activator-Inhibitor Type
Abstract and Applied Analysis
author_facet S. Abdelmalek
A. Gouadria
A. Youkana
author_sort S. Abdelmalek
title Global Solutions for an -Component System of Activator-Inhibitor Type
title_short Global Solutions for an -Component System of Activator-Inhibitor Type
title_full Global Solutions for an -Component System of Activator-Inhibitor Type
title_fullStr Global Solutions for an -Component System of Activator-Inhibitor Type
title_full_unstemmed Global Solutions for an -Component System of Activator-Inhibitor Type
title_sort global solutions for an -component system of activator-inhibitor type
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper deals with a reaction-diffusion system with fractional reactions modeling -substances into interaction following activator-inhibitor's scheme. The existence of global solutions is obtained via a judicious Lyapunov functional that generalizes the one introduced by Masuda and Takahashi.
url http://dx.doi.org/10.1155/2013/939405
work_keys_str_mv AT sabdelmalek globalsolutionsforancomponentsystemofactivatorinhibitortype
AT agouadria globalsolutionsforancomponentsystemofactivatorinhibitortype
AT ayoukana globalsolutionsforancomponentsystemofactivatorinhibitortype
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