Competitive exclusion in a two-species chemotaxis model.
J Math Biol
; 68(7): 1607-26, 2014 Jun.
Article
em En
| MEDLINE
| ID: mdl-23636562
ABSTRACT
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.
Texto completo:
1
Coleções:
01-internacional
Base de dados:
MEDLINE
Assunto principal:
Quimiotaxia
/
Modelos Biológicos
Idioma:
En
Revista:
J Math Biol
Ano de publicação:
2014
Tipo de documento:
Article
País de afiliação:
Alemanha