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BIFURCATIONS AND CHAOS IN A PERIODIC PREDATOR-PREY MODEL

BIFURCATIONS AND CHAOS IN A PERIODIC PREDATOR-PREY MODEL

The model most often used by ecologists to describe interactions between predator and prey populations is analyzed in this paper with reference to the case of periodically varying parameters. A complete bifurcation diagram for periodic solutions of period one and two is obtained by means of a continuation technique. The …