Chaos in a three-species food chain model with a Beddington–DeAngelis functional response

Min Zhao and Songjuan Lv

Chaos, Solitons & Fractals, 2009, vol. 40, issue 5, 2305-2316

Abstract: 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.

Date: 2009
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Citations: View citations in EconPapers (11)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:40:y:2009:i:5:p:2305-2316

DOI: 10.1016/j.chaos.2007.10.025

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