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

Pireddu M., Zanolin F.

Opuscula Mathematica

2008

Vol. 28, no. 4

567-592

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.