Some remarks on the qualitative properties of solutions to a predator–prey model posed on non coincident spatial domains
DUCROT, Arnaud
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
GUYONNE, Vincent
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
LANGLAIS, Michel
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
DUCROT, Arnaud
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
GUYONNE, Vincent
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
LANGLAIS, Michel
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
< Reduce
Institut de Mathématiques de Bordeaux [IMB]
Tools of automatic control for scientific computing, Models and Methods in Biomathematics [ANUBIS]
Language
en
Article de revue
This item was published in
Discrete and Continuous Dynamical Systems - Series S. 2011-02, vol. 4, n° 1, p. 67-82
American Institute of Mathematical Sciences
English Abstract
We are interested in the dynamical behaviour of the solution set to a two component reaction–diffusion system posed on non coincident spatial do- mains. The underlying biological problem is a predator–prey system featuring ...Read more >
We are interested in the dynamical behaviour of the solution set to a two component reaction–diffusion system posed on non coincident spatial do- mains. The underlying biological problem is a predator–prey system featuring a non local numerical response to predation involving an integral kernel. Quite interesting while complex dynamics emerge from preliminary numerical simu- lations, driven both by diffusivities and by the parametric form or shape of the integral kernel. We consider a simplified version of this problem, with constant coefficients, and give some hints on the large time dynamics of solutions.Read less <
English Keywords
Reaction-Diffusion system
non-coincident spatial domains
stationary solutions
degree theory
persistence
Origin
Hal imported