On a competitive system under chemotactic effects with non-local terms

Tello del Castillo, José Ignacio and Negreanu, Mihaela (2013). On a competitive system under chemotactic effects with non-local terms. "Nonlinearity", v. 26 (n. 4); pp. 1083-1103. ISSN 0951-7715. https://doi.org/10.1088/0951-7715/26/4/1083.

Description

Title: On a competitive system under chemotactic effects with non-local terms
Author/s:
  • Tello del Castillo, José Ignacio
  • Negreanu, Mihaela
Item Type: Article
Título de Revista/Publicación: Nonlinearity
Date: April 2013
ISSN: 0951-7715
Volume: 26
Subjects:
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 study a system of partial differential equations describing the evolution of a population under chemotactic effects with non-local reaction terms. We consider an external application of chemoattractant in the system and study the cases of one and two populations in competition. By introducing global competitive/cooperative factors in terms of the total mass of the populations, weobtain, forarangeofparameters, thatanysolutionwithpositive and bounded initial data converges to a spatially homogeneous state with positive components. The proofs rely on the maximum principle for spatially homogeneous sub- and super-solutions.

More information

Item ID: 33252
DC Identifier: http://oa.upm.es/33252/
OAI Identifier: oai:oa.upm.es:33252
DOI: 10.1088/0951-7715/26/4/1083
Official URL: http://iopscience.iop.org/0951-7715/26/4/1083
Deposited by: Memoria Investigacion
Deposited on: 24 Apr 2015 18:00
Last Modified: 24 Apr 2015 18:00
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