Some remarks on the qualitative properties of solutions to a predator-prey model posed on non coincident spatial domains | Zendy

Arnaud Ducrot | Zendy; Vincent Guyonne | Zendy; Michel Langlais | Zendy

Open Access

Some 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 - 2010

Publication title -

discrete and continuous dynamical systems - 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

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