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Stability of solutions of chemotaxis equations in reinforced random walks
Citation
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/10.1016/S0022-247X(02)00147-6.
Description
| Title: | Stability of solutions of chemotaxis equations in reinforced random walks |
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| Author/s: |
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| Item Type: | Article |
| Journal/Publication Title: | 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 |
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 |
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| DC Identifier: | http://oa.upm.es/45820/ |
| OAI Identifier: | oai:oa.upm.es:45820 |
| DOI: | 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: | 21 May 2021 09:50 |
