Chaos in ecology: The topological entropy of a tritrophic food chain model
type: Item
instance of: scholarly article
title: Chaos in ecology: The topological entropy of a tritrophic food chain model
zbMATH Open document ID: 1145.92033
DOI: 10.1155/2008/541683
author: B. E. Eshmatov
published in: Discrete Dynamics in Nature and Society
publication date: 2008-10-16T00:00:00Z
full work available at URL: https://eudml.org/doc/129239
review text: Summary: An ecosystem is a web of complex interactions among species. With the purpose of understanding this complexity, it is necessary to study basic food chain dynamics with preys, predators and superpredators interactions. Although there is an elegant interpretation of ecological models in terms of chaos theory, the complex behavior of chaotic food chain systems is not completely understood. We study a specific food chain model from the literature. Using results from symbolic dynamics, we characterize the topological entropy of a family of logistic-like Poincaré return maps that replicates salient aspects of the dynamics of the model. The analysis of the variation of this numerical invariant, in some realistic system parameter region, allows us to quantify and to distinguish different chaotic regimes. This work is still another illustration of the role that the theory of dynamical systems can play in the study of chaotic dynamics in life sciences.
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 37D45
Mathematics Subject Classification ID: 37N25
zbMATH DE Number: 5352082
Wikidata QID: Q58644507
MaRDI profile type: Publication
OpenAlex ID: W2018024643
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description: scientific article; zbMATH DE number 5352082