On the concept of attractor in community-dynamical processes II: The case of structured populations

Gyllenberg, M., Jacobs, F.J.A., & Metz, J.A.J. (2003). On the concept of attractor in community-dynamical processes II: The case of structured populations. Journal of Mathematical Biology 47 (3) 235-248. 10.1007/s00285-003-0213-y.

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In Part I of this paper Jacobs and Metz (2003) extended the concept of the Conley-Ruelle, or chain, attractor in a way relevant to unstructured community ecological models. Their modified theory incorporated the facts that certain parts of the boundary of the state space correspond to the situation of at least one species being extinct and that an extinct species can not be rescued by noise. In this part we extend the theory to communities of physiologically structured populations. One difference between the structured and unstructured cases is that a structured population may be doomed to extinction and not rescuable by any biologically relevant noise before actual extinction has taken place. Another difference is that in the structured case we have to use different topologies to define continuity of orbits and to measure noise. Biologically meaningful noise is furthermore related to the linear structure of the community state space. The construction of extinction preserving chain attractors developed in this paper takes all these points into account.

Item Type: Article
Uncontrolled Keywords: Environmental noise; Pseudoorbit; Chain attractor; Weak-topology; Physiologically structured populations; Community dynamics; Extinction
Research Programs: Adaptive Dynamics Network (ADN)
Bibliographic Reference: Journal of Mathematical Biology; 47(3):235-248 (August 2003)
Depositing User: IIASA Import
Date Deposited: 15 Jan 2016 02:15
Last Modified: 27 Aug 2021 17:37
URI: https://pure.iiasa.ac.at/6823

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