On a two species chemotaxis model with slow chemical diffucion.

Tello del Castillo, José Ignacio ORCID: https://orcid.org/0000-0003-2671-7803 (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.

Descripción

Título: On a two species chemotaxis model with slow chemical diffucion.
Autor/es:
Tipo de Documento: Artículo
Título de Revista/Publicación: SIAM Journal on Mathematical Analysis
Fecha: 2014
ISSN: 0036-1410
Volumen: 46
Número: 6
Materias:
ODS:
Escuela: E.T.S.I. de Sistemas Informáticos (UPM)
Departamento: Matemática Aplicada a las Tecnologías de la Información y las Comunicaciones
Licencias Creative Commons: Reconocimiento - Sin obra derivada - No comercial

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Resumen

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.

Más información

ID de Registro: 33246
Identificador DC: https://oa.upm.es/33246/
Identificador OAI: oai:oa.upm.es:33246
URL Portal Científico: https://portalcientifico.upm.es/es/ipublic/item/5489330
Identificador DOI: 10.1137/140971853
URL Oficial: http://www.siam.org/journals/sima.php
Depositado por: Memoria Investigacion
Depositado el: 05 Feb 2015 12:28
Ultima Modificación: 12 Nov 2025 00:00