Global structure of subharmonics in a class of periodic predator-prey models

DOI10.1088/1361-6544/ab49e1zbMath1431.34066arXiv1906.04568OpenAlexW3098009059WikidataQ115548094 ScholiaQ115548094MaRDI QIDQ5244406

Julián López-Gómez, Eduardo Muñoz-Hernández

Publication date: 21 November 2019

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1906.04568

zbMATH Keywords

global bifurcation diagramsperiodic predator-prey modelsubharmonic coexistence statesstructure of the set of bifurcation points

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Qualitative investigation and simulation of ordinary differential equation models (34C60) Nonautonomous smooth dynamical systems (37C60)

Related Items (8)

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 ⋮ On the applicability of the Poincaré-Birkhoff twist theorem to a class of planar periodic predator-prey models ⋮ Dynamics of a stochastic Holling II predator-prey model with Lévy jumps and habitat complexity ⋮ A spatially heterogeneous predator-prey model ⋮ The effects of dispersal and spatial heterogeneity on the dynamics of a predator-prey model ⋮ Planar Hamiltonian systems: index theory and applications to the existence of subharmonics

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