TY  - JOUR
ID  - Pireddu2008
LB  - Pireddu2008
AU  - Pireddu, Marina
AU  - Zanolin, Fabio
TI  - Chaotic dynamics in the Volterra predator-prey model via linked twist maps
ST  - Chaotic dynamics in the Volterra predator-prey model via linked twist maps
JO  - Opuscula Math.
JA  - Opuscula Math.
JF  - Opuscula Mathematica
PY  - 2008
VL  - 28
IS  - 4
SP  - 567
EP  - 592
DO  - http://dx.doi.org/10.7494/OpMath.2008.28.4.567
UR  - http://dx.doi.org/10.7494/OpMath.2008.28.4.567
AB  - 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.
KW  - Volterra predator-prey system
KW  - harvesting
KW  - periodic solutions
KW  - subharmonics
KW  - chaotic-like dynamics
KW  - topological horseshoes
KW  - linked twist maps
SN  - 1232-9274
ER  -