Stability of solutions of chemotaxis equations in reinforced random walks

Tello del Castillo, José Ignacio and Friedman, Avner (2002). Stability of solutions of chemotaxis equations in reinforced random walks. "Journal of mathematical analysis and its applications", v. 272 (n. 1); pp. 138-163. ISSN 0022-247X. https://doi.org/https://doi.org/10.1016/S0022-247X(02)00147-6.

Description

Title: Stability of solutions of chemotaxis equations in reinforced random walks
Author/s:
  • Tello del Castillo, José Ignacio
  • Friedman, Avner
Item Type: Article
Título de Revista/Publicación: Journal of mathematical analysis and its applications
Date: 1 August 2002
ISSN: 0022-247X
Volume: 272
Subjects:
Freetext Keywords: Chemotaxis; Reinforced random walk; Parabolic equations; Stability of stationary solutions
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

Full text

[img]
Preview
PDF - Requires a PDF viewer, such as GSview, Xpdf or Adobe Acrobat Reader
Download (1MB) | Preview

Abstract

Abstract In this paper we consider a nonlinear system of differential equations consisting of one parabolic equation and one ordinary differential equation. The system arises in chemotaxis, a process whereby living organisms respond to chemical substance by moving toward higher, or lower, concentrations of the chemical substance, or by aggregating or dispersing. We prove that stationary solutions of the system are asymptotically stable.

More information

Item ID: 45820
DC Identifier: http://oa.upm.es/45820/
OAI Identifier: oai:oa.upm.es:45820
DOI: https://doi.org/10.1016/S0022-247X(02)00147-6
Official URL: http://www.sciencedirect.com/science/article/pii/S0022247X02001476
Deposited by: Memoria Investigacion
Deposited on: 24 May 2017 17:33
Last Modified: 24 May 2017 17:33
  • Logo InvestigaM (UPM)
  • Logo GEOUP4
  • Logo Open Access
  • Open Access
  • Logo Sherpa/Romeo
    Check whether the anglo-saxon journal in which you have published an article allows you to also publish it under open access.
  • Logo Dulcinea
    Check whether the spanish journal in which you have published an article allows you to also publish it under open access.
  • Logo de Recolecta
  • Logo del Observatorio I+D+i UPM
  • Logo de OpenCourseWare UPM