Open AccessEFFECTS OF DOMAIN SIZE ON THE PERSISTENCE OF POPULATIONS IN A DIFFUSIVE FOOD‐CHAIN MODEL WITH BEDDINGTON‐DeANGELIS FUNCTIONAL RESPONSE
Author(s) -
CANTRELL ROBERT STEPHEN,
COSNER CHRIS
Publication year - 2001
Publication title -
natural resource modeling
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.28
H-Index - 32
eISSN - 1939-7445
pISSN - 0890-8575
DOI - 10.1111/j.1939-7445.2001.tb00062.x
Subject(s) - persistence (discontinuity) , trophic level , extinction (optical mineralogy) , persistence length , biological dispersal , food chain , functional response , diffusion , biological system , domain (mathematical analysis) , reaction–diffusion system , statistical physics , ecology , mathematics , biology , physics , thermodynamics , mathematical analysis , predation , population , demography , geology , paleontology , geotechnical engineering , nuclear magnetic resonance , sociology , predator , polymer
. A food chain consisting of species at three trophic levels is modeled using Beddington‐DeAngelis functional responses as the links between trophic levels. The dispersal of the species is modeled by diffusion, so the resulting model is a three component reaction‐diffusion system. The behavior of the system is described in terms of predictions of extinction or persistence of the species. Persistence is characterized via permanence, i.e., uniform persistence plus dissi‐pativity. The way that the predictions of extinction or persistence depend on domain size is studied by examining how they vary as the size (but not the shape) of the underlying spatial domain is changed.