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

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

2008-05-28

arxiv.org/abs/0805.4367v1

Mathematics

Dynamical Systems

24 pages, 4 figures

Scientific paper

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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