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

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.Comment: 24 pages, 4 figure