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

Authors:	Email author" target="_blank">FJA?Jacobs Email author JAJ?Metz

Institution:	(1) Section Theoretical Evolutionary Biology, Institute of Evolutionary and Ecological Sciences, University of Leiden, Kaiserstraat 63, 2311 GP Leiden, The Netherlands;(2) Section Theoretical Evolutionary Biology, Institute of Evolutionary and Ecological Sciences, University of Leiden, The Netherlands and Adaptive Dynamics Network, International Institute for Applied System Analysis, A-2361 Laxenburg, Austria, Kaiserstraat 63, 2311 GP Leiden, The Netherlands;(3) Department of Ecology and Evolutionary Biology, University of Tennessee, 569 Dabney Hall, 1416, Circle Drive, Knoxville, TN 37996-1610, USA

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.Mathematics Subject Classification (2000):37b20, 37c50, 37c70

Keywords:	Community dynamics" target="_blank">gif" alt="ensp" align="MIDDLE" BORDER="0">Community dynamics Attractors Adaptive dynamics Chain recurrency Pseudoorbits
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