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On the concept of attractor for community-dynamical processes I: the case of unstructured populations
1Section Theoretical Evolutionary Biology, Institute of Evolutionary and Ecological Sciences, University of Leiden, Kaiserstraat 63, 2311, GP Leiden, The Netherlands. frans@tiem.utk.edu
Journal of Mathematical Biology
|September 5, 2003
Abstract:
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.