RT Journal Article
T1 On the applicability of the poincaré–Birkhoff twist theorem to a class of planar periodic predator-prey models
A1 López Gómez, Julián
A1 Muñoz Hernández, Eduardo
A1 Zanolin, Fabio
AB This paper studies the existence of subharmonics of arbitrary order in a generalized class of non-autonomous predator-prey systems of Volterra type with periodic coefficients. When the model is non-degenerate it is shown that the Poincaré–Birkhoff twist theorem can be applied to get the existence of subharmonics of arbitrary order. However, in the degenerate models, whether or not the twist theorem can be applied to get subharmonics of a given order might depend on the particular nodal behavior of the several weight function-coefficients involved in the setting of the model. Finally, in order to analyze how the subharmonics might be lost as the model degenerates, the exact point-wise behavior of the  T-periodic solutions of a non-degenerate model is ascertained as a perturbation parameter makes it degenerate.
PB American Institute of Mathematical Sciences
SN 1553-5231
YR 2020
FD 2020
LK https://hdl.handle.net/20.500.14352/93445
UL https://hdl.handle.net/20.500.14352/93445
LA eng
NO López-Gómez, J., Muñoz-Hernández, E., & Zanolin, F. (2020). On the applicability of the poincaré–Birkhoff twist theorem to a class of planar periodic predator-prey models. Discrete And Continuous Dynamical Systems, 40(4), 2393-2419. https://doi.org/10.3934/dcds.2020119
NO Ministerio de Ciencia, Innovación y Universidades (España)
DS Docta Complutense
RD 21 abr 2025