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Mathematical analysis and stability of a chemotaxis model with logistic term.

Tello del Castillo, José Ignacio (2004). Mathematical analysis and stability of a chemotaxis model with logistic term.. "Mathematical methods in the applied sciences", v. 27 (n. 16); pp. 1865-1880. ISSN 0170-4214. https://doi.org/10.1002/mma.528.

Description

Title: Mathematical analysis and stability of a chemotaxis model with logistic term.
Author/s:
  • Tello del Castillo, José Ignacio
Item Type: Article
Título de Revista/Publicación: Mathematical methods in the applied sciences
Date: 17 June 2004
ISSN: 0170-4214
Volume: 27
Subjects:
Freetext Keywords: Chemotaxis; stability of stationary solutions; parabolic equations; reinforced random walks
Faculty: E.U. de Informática (UPM)
Department: Matemática Aplicada
Creative Commons Licenses: Recognition - No derivative works - Non commercial

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Abstract

In this paper we study a non-linear system of dierential equations arising in chemotaxis. The system consists of a PDE that describes the evolution of a population and an ODE which models the concentration of a chemical substance. We study the number of steady states under suitable assumptions, the existence of one global solution to the evolution problem in terms of weak solutions and the stability of the steady states.

Funding Projects

TypeCodeAcronymLeaderTitle
Government of SpainREN 2000/0766UnspecifiedDGESUnspecified
UnspecifiedHPRN-CT-2002-00274UnspecifiedEuropean UnionUnspecified

More information

Item ID: 45811
DC Identifier: https://oa.upm.es/45811/
OAI Identifier: oai:oa.upm.es:45811
DOI: 10.1002/mma.528
Official URL: http://onlinelibrary.wiley.com/doi/10.1002/mma.528/full
Deposited by: Memoria Investigacion
Deposited on: 25 May 2017 15:58
Last Modified: 21 May 2021 09:48
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