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

Abdelmalek Salem | Zendy; Abdelouahab Gouadria | Zendy; A. Youkana | Zendy

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

Author(s) -

Abdelmalek Salem,

Abdelouahab Gouadria,

A. Youkana

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/939405

Subject(s) - mathematics , activator (genetics) , reaction–diffusion system , component (thermodynamics) , lyapunov function , type (biology) , mathematical analysis , thermodynamics , receptor , chemistry , nonlinear system , biochemistry , biology , ecology , physics , quantum mechanics

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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