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Published on: November 20, 2013
On the dynamics of discrete food chains: low- and high-frequency behavior and optimality of chaos
1Department of Technology, University of Kalmar, S-39182 Kalmar, Sweden. lindstrom@hik.se
Abstract:
In this paper we derive and analyze a discrete version of Rosenzweig's (Am. Nat. 1973) food-chain model. We provide substantial analytical and numerical evidence for the general dynamical patterns of food chains predicted by De Feo and Rinaldi (Am. Nat. 1997) remaining largely unaffected by this discretization. Our theoretical analysis gives rise to a classification of the parameter space into various regions describing distinct governing dynamical behaviors. Predator abundance has a local optimum at the edge of chaos.
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