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Tello del Castillo, José Ignacio and Stinner, C. and Winkler, Michael (2014). Competitive exclusion in a two-especies chemotasis model. "Journal of Mathematical Biology", v. 68 (n. 7); pp. 1607-1626. ISSN 0092-8240. https://doi.org/10.1007/s00285-013-0681-7.
Title: | Competitive exclusion in a two-especies chemotasis model |
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Author/s: |
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Item Type: | Article |
Título de Revista/Publicación: | Journal of Mathematical Biology |
Date: | June 2014 |
ISSN: | 0092-8240 |
Volume: | 68 |
Subjects: | |
Freetext Keywords: | Chemotaxis · Stability of solutions · Asymptotic behavior · Competitive exclusion |
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 |
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We consider a mathematical model for the spatio-temporal evolution of two biological species in a competitive situation. Besides diffusing, both species move toward higher concentrations of a chemical substance which is produced by themselves. The resulting system consists of two parabolic equations with Lotka–Volterra-type kinetic terms and chemotactic cross-diffusion, along with an elliptic equation describing the behavior of the chemical. We study the question in how far the phenomenon of competitive exclusion occurs in such a context. We identify parameter regimes for which indeed one of the species dies out asymptotically, whereas the other reaches its carrying capacity in the large time limit.
Type | Code | Acronym | Leader | Title |
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Government of Spain | MTM2009-13655 | Unspecified | Unspecified | Unspecified |
Universidad Politécnica de Madrid | CCG07-UPM/000-3199 | Unspecified | Unspecified | Unspecified |
Item ID: | 33243 |
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DC Identifier: | http://oa.upm.es/33243/ |
OAI Identifier: | oai:oa.upm.es:33243 |
DOI: | 10.1007/s00285-013-0681-7 |
Official URL: | http://link.springer.com/article/10.1007%2Fs00285-013-0681-7 |
Deposited by: | Memoria Investigacion |
Deposited on: | 24 Apr 2015 16:54 |
Last Modified: | 06 May 2019 06:41 |