On the concept of attractor in community-dynamical processes I: The case of unstructured populations
Authors: Jacobs FJA, Metz JAJ
Publication Year: 2003
Reference: Journal of Mathematical Biology, 47(3):222-234 (August 2003)
[10.1007/s00285-003-0204-z]. Also available as IIASA Interim Report IR-01-027 www.iiasa.ac.at/Admin/PUB/Documents/IR-01-027.pdf
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
KEYWORDS: Community dynamics; Attractors; Adaptive dynamics; Chain recurrency; Pseudoorbits