Outline
DOI: 10.7494/opmath.2008.28.4.567 ISSN: 1232-9274
Chaotic dynamics in the Volterra predator-prey model via linked twist maps
Marina Pireddu, Fabio ZanolinWe 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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