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On a two species chemotaxis model with slow chemical diffucion.
Cita
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.
Descripción
| Título: | On a two species chemotaxis model with slow chemical diffucion. |
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| Autor/es: |
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| Tipo de Documento: | Artículo |
| Título de Revista/Publicación: | SIAM Journal on Mathematical Analysis |
| Fecha: | 2014 |
| Volumen: | 46 |
| Materias: | |
| 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 |
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 |
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| Identificador DC: | http://oa.upm.es/33246/ |
| Identificador OAI: | oai:oa.upm.es:33246 |
| 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: | 05 Feb 2015 12:28 |
