Competitive exclusion in a two-especies chemotasis model


Autoria(s): Tello del Castillo, José Ignacio; Stinner, C.; Winkler, Michael
Data(s)

01/06/2014

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

http://oa.upm.es/33243/

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