On a comparison method to reaction-diffusion systems and its applications to chemotaxis

Tello del Castillo, José Ignacio and Negreanu, Mihaela (2013). On a comparison method to reaction-diffusion systems and its applications to chemotaxis. "Discrete and Continuous Dynamical Systems-Series B", v. 18 (n. 10); pp. 2669-2688. ISSN 1531-3492. https://doi.org/10.3934/dcdsb.2013.18.xx.

Description

Title: On a comparison method to reaction-diffusion systems and its applications to chemotaxis
Author/s:
  • Tello del Castillo, José Ignacio
  • Negreanu, Mihaela
Item Type: Article
Título de Revista/Publicación: Discrete and Continuous Dynamical Systems-Series B
Date: December 2013
ISSN: 1531-3492
Volume: 18
Subjects:
Freetext Keywords: Comparison method, asymptotic behavior, stability, sub- and super-solutions.
Faculty: E.U. de Informática (UPM)
Department: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper we consider a general system of reaction-diffusion equations and introduce a comparison method to obtain qualitative properties of its solutions. The comparison method is applied to study the stability of homogeneous steady states and the asymptotic behavior of the solutions of different systems with a chemotactic term. The theoretical results obtained are slightly modified to be applied to the problems where the systems are coupled in the differentiated terms and / or contain nonlocal terms. We obtain results concerning the global stability of the steady states by comparison with solutions of Ordinary Differential Equations.

More information

Item ID: 33256
DC Identifier: http://oa.upm.es/33256/
OAI Identifier: oai:oa.upm.es:33256
DOI: 10.3934/dcdsb.2013.18.xx
Official URL: http://www.aimsciences.org/journals/displayArticlesnew.jsp?paperID=9147
Deposited by: Memoria Investigacion
Deposited on: 24 Apr 2015 17:13
Last Modified: 24 Apr 2015 17:13
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