On the applicability of the Poincaré-Birkhoff twist theorem to a class of planar periodic predator-prey models

DOI10.3934/dcds.2020119zbMath1441.34060OpenAlexW3004174848MaRDI QIDQ1988321

Eduardo Muñoz-Hernández, Fabio Zanolin, Julián López-Gómez

Publication date: 16 April 2020

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020119

zbMATH Keywords

Poincaré-Birkhoff twist theoremsubharmonic coexistence statesdegenerate versus non-degenerate modelsperiodic predator-prey model of Volterra typepoint-wise behavior of the low order subharmonics as the model degenerates

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Nonautonomous smooth dynamical systems (37C60) Dynamical aspects of twist maps (37E40)

Related Items (4)

Subharmonic solutions for a class of predator-prey models with degenerate weights in periodic environments ⋮ Rich dynamics in planar systems with heterogeneous nonnegative weights ⋮ The Poincaré-Birkhoff theorem for a class of degenerate planar Hamiltonian systems ⋮ Planar Hamiltonian systems: index theory and applications to the existence of subharmonics

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