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arXiv · 0805.4367

Chaotic dynamics in the Volterra predator-prey model via linked twist maps

Marina Pireddu·Fabio Zanolin
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Abstract

We prove the existence of infinitely many periodic solutions and complicated dynamics, due to the presence of a topological horseshoe, for the classical Volterra predator--prey model with a periodic harvesting. The proof relies on some recent results about chaotic planar maps combined with the study of geometric features which are typical of linked twist maps.

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Marina Pireddu, Fabio Zanolin. 2008-05-28. Chaotic dynamics in the Volterra predator-prey model via linked twist maps. https://arxiv.org/abs/0805.4367

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