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

• Autorzy: Pireddu M. , Zanolin F.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Volterra predator-prey system; harvesting; periodic solutions; subharmonics; chaotic-like dynamics; topological horseshoes; linked twist maps

• Wydawca: AGH University of Science and Technology Press
• Czasopismo: Opuscula Mathematica
• Rocznik: 2008
• Tom: Vol. 28, no. 4
• Strony: 567--592
• Opis fizyczny: Bibliogr. 51poz., rys.

Twórcy

autor

Pireddu M.

autor

Zanolin F.

• University of Udine, Department of Mathematics and Computer Science via delle Scienze 206, 1-33100 Udine, Italy,

Bibliografia

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