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Characteristic properties of discrete food-chains
by
Torsten Lindström
University of Kalmar, 39182 Kalmar, Sweden
We derive and analyze a discrete version of Rosenzweig's food-chain model (Am. Nat. 1973) and discuss its basic dynamical properties. The model has four equilibria, one corresponding to each possible length of the food-chain. The model constitutes no exception to May's (1971) expectation that food-web complexity does not in general increase stability. We give conditions for that equilibria corresponding to coexistence of two and three species lose their stability through a Neimark-Sacker bifurcation and give som characteristic patterns of the ensuing cycles.
Date received: February 27, 2003
Copyright © 2003 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cakr-70.