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Journal of Mathematical Biology

, Volume 47, Issue 3, pp 222–234 | Cite as

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

  • F.J.A. JacobsEmail author
  • J.A.J. Metz
Article

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.

Keywords

 Community dynamics Attractors Adaptive dynamics Chain recurrency Pseudoorbits 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  1. 1.Section Theoretical Evolutionary Biology, Institute of Evolutionary and Ecological SciencesUniversity of LeidenGP LeidenThe Netherlands
  2. 2.Section Theoretical Evolutionary BiologyInstitute of Evolutionary and Ecological Sciences, University of Leiden, The Netherlands and Adaptive Dynamics Network, International Institute for Applied System Analysis, A-2361 Laxenburg, AustriaGP LeidenThe Netherlands
  3. 3.Department of Ecology and Evolutionary BiologyUniversity of TennesseeKnoxvilleUSA

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