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...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/939405 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832559219383992320 |
|---|---|
| author | S. Abdelmalek A. Gouadria A. Youkana |
| author_facet | S. Abdelmalek A. Gouadria A. Youkana |
| author_sort | S. Abdelmalek |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-76dce2851b7e4faba22ce95df57844c7 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-76dce2851b7e4faba22ce95df57844c72025-02-03T01:30:36ZengWileyAbstract 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 |
| spellingShingle | S. Abdelmalek A. Gouadria A. Youkana Global Solutions for an -Component System of Activator-Inhibitor Type Abstract and Applied Analysis |
| title | 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_short | Global Solutions for an -Component System of Activator-Inhibitor Type |
| title_sort | global solutions for an component system of activator inhibitor type |
| url | http://dx.doi.org/10.1155/2013/939405 |
| work_keys_str_mv | AT sabdelmalek globalsolutionsforancomponentsystemofactivatorinhibitortype AT agouadria globalsolutionsforancomponentsystemofactivatorinhibitortype AT ayoukana globalsolutionsforancomponentsystemofactivatorinhibitortype |