Chaotic dynamics in the Volterra predator-prey model via linked twist maps
Dynamical Systems
2008-05-29 v1 Classical Analysis and ODEs
Populations and Evolution
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.
Cite
@article{arxiv.0805.4367,
title = {Chaotic dynamics in the Volterra predator-prey model via linked twist maps},
author = {Marina Pireddu and Fabio Zanolin},
journal= {arXiv preprint arXiv:0805.4367},
year = {2008}
}
Comments
24 pages, 4 figures