Open AccessSome remarks on the qualitative properties of solutions to a predator-prey model posed on non coincident spatial domains
Author(s) -
Arnaud Ducrot,
Vincent Guyonne,
Michel Langlais
Publication year - 2011
Publication title -
discrete and continuous dynamical systems. series s
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.481
H-Index - 34
eISSN - 1937-1632
pISSN - 1937-1179
DOI - 10.3934/dcdss.2011.4.67
Subject(s) - kernel (algebra) , parametric statistics , component (thermodynamics) , set (abstract data type) , predation , statistical physics , diffusion , mathematics , constant (computer programming) , mathematical optimization , computer science , physics , pure mathematics , ecology , biology , statistics , thermodynamics , programming language
International audienceWe are interested in the dynamical behaviour of the solution set to a two component reaction–diusion 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 diusivities and by the parametric form or shape of the integral kernel. We consider a simplied version of this problem, with constant coecients, and give some hints on the large time dynamics of solutions