Competitive exclusion in a two-especies chemotasis model
Data(s) |
01/06/2014
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Resumo |
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. |
Formato |
application/pdf |
Identificador | |
Idioma(s) |
eng |
Publicador |
E.U. de Informática (UPM) |
Relação |
http://oa.upm.es/33243/1/INVE_MEM_2013_180431.pdf http://link.springer.com/article/10.1007%2Fs00285-013-0681-7 info:eu-repo/semantics/altIdentifier/doi/10.1007/s00285-013-0681-7 |
Direitos |
http://creativecommons.org/licenses/by-nc-nd/3.0/es/ info:eu-repo/semantics/openAccess |
Fonte |
Journal of Mathematical Biology, ISSN 0092-8240, 2014-06, Vol. 68, No. 7 |
Palavras-Chave | #Matemáticas |
Tipo |
info:eu-repo/semantics/article Artículo PeerReviewed |