Journal
CHAOS SOLITONS & FRACTALS
Volume 40, Issue 5, Pages 2305-2316Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2007.10.025
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Funding
- Zhejiang Provincial Natural Science Foundation of China [Y505365]
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This paper investigates a three-species food chain model with a Beddington-DeAngelis functional response, both analytically and through numerical simulations. First the equilibrium states of the system are identified and their stability analyzed analytically. The results of simulations demonstrate chaotic long-term behavior over a broad range of parameters. The existence of a strange attractor and computation of the largest Lyapunov exponent also demonstrate the presence of chaotic dynamics in the model. (C) 2007 Elsevier Ltd. All rights reserved.
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