On a two species chemotaxis model with slow chemical diffucion.

Tello Del Castillo, José Ignacio (2014). On a two species chemotaxis model with slow chemical diffucion.. "SIAM Journal on Mathematical Analysis", v. 46 (n. 6); pp. 3761-3781. ISSN 0036-1410. https://doi.org/10.1137/140971853.

Description

Title: On a two species chemotaxis model with slow chemical diffucion.
Author/s:
  • Tello Del Castillo, José Ignacio
Item Type: Article
Título de Revista/Publicación: SIAM Journal on Mathematical Analysis
Date: 2014
ISSN: 0036-1410
Volume: 46
Subjects:
Faculty: E.T.S.I. de Sistemas Informáticos (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 system of three parabolic equations modeling the behavior of two biological species moving attracted by a chemical factor. The chemical substance verifies a parabolic equation with slow diffusion. The system contains second order terms in the first two equations modeling the chemotactic effects. We apply an iterative method to obtain the global existence of solutions using that the total mass of the biological species is conserved. The stability of the homogeneous steady states is studied by using an energy method. A final example is presented to illustrate the theoretical results.

More information

Item ID: 33246
DC Identifier: http://oa.upm.es/33246/
OAI Identifier: oai:oa.upm.es:33246
DOI: 10.1137/140971853
Official URL: http://www.siam.org/journals/sima.php
Deposited by: Memoria Investigacion
Deposited on: 05 Feb 2015 12:28
Last Modified: 05 Feb 2015 12:28
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