On the concept of attractor for community-dynamical processes I: the case of unstructured populations

We introduce a notion of attractor adapted to dynamical processes as they are studied in community-ecological models and their computer simulations. This attractor concept is modeled after that of Ruelle as presented in [11] and [12]. It incorporates the fact that in an immigration-free community po...

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Bibliographic Details
Published in:Journal of mathematical biology 2003-09, Vol.47 (3), p.222-234
Main Authors: Jacobs, F J A, Metz, J A J
Format: Article
Language:English
Subjects:
Algorithms
Computer Simulation
Ecosystem
Models, Biological
Nonlinear Dynamics
Population Density
Population Dynamics
Terminology as Topic
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Summary:We introduce a notion of attractor adapted to dynamical processes as they are studied in community-ecological models and their computer simulations. This attractor concept is modeled after that of Ruelle as presented in [11] and [12]. It incorporates the fact that in an immigration-free community populations can go extinct at low values of their densities.
ISSN:0303-6812
1432-1416
DOI:10.1007/s00285-003-0204-z