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Limit cycles in predator-prey models.

D M Wrzosek
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Abstract

The general model of interaction between one predator and one prey is studied. A unimodal function of rate of growth of the prey and concave down functional response of the predator is assumed. In this work it is shown that for a given natural number n there exist models possessing at least 2n + 1 limit cycles. It is also proved, applying the Hopf bifurcation theorem, that a model exists with a logistic growth rate of the prey and concave down functional response that has at least two limit cycles.

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BibTeXRIS

D M Wrzosek. 1990. Limit cycles in predator-prey models.. https://doi.org/10.1016/0025-5564(90)90009-n

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