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Chaos in Ecology : The Topological Entropy of a Tritrophic Food Chain Model
Joint Authors
Januário, Cristina
Martins, Nuno
Duarte, Jorge
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-09-29
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
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.
In the present work 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.
American Psychological Association (APA)
Duarte, Jorge& Januário, Cristina& Martins, Nuno. 2008. Chaos in Ecology : The Topological Entropy of a Tritrophic Food Chain Model. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-12.
https://search.emarefa.net/detail/BIM-480018
Modern Language Association (MLA)
Duarte, Jorge…[et al.]. Chaos in Ecology : The Topological Entropy of a Tritrophic Food Chain Model. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-12.
https://search.emarefa.net/detail/BIM-480018
American Medical Association (AMA)
Duarte, Jorge& Januário, Cristina& Martins, Nuno. Chaos in Ecology : The Topological Entropy of a Tritrophic Food Chain Model. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-12.
https://search.emarefa.net/detail/BIM-480018
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-480018