Hopf bifurcation and steady-state bifurcation for a Leslie-Gower prey-predator model with strong allee effect in prey

DOI10.3934/dcds.2019045zbMath1404.35014OpenAlexW2900021964WikidataQ128950567 ScholiaQ128950567MaRDI QIDQ1757440

Mingxin Wang, Na Min

Publication date: 4 January 2019

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

Full work available at URL: https://doi.org/10.3934/dcds.2019045

zbMATH Keywords

Hopf bifurcationAllee effectsteady-state bifurcationLeslie-Gower prey-predator model

Mathematics Subject Classification ID

Periodic solutions to PDEs (35B10) Population dynamics (general) (92D25) Bifurcations in context of PDEs (35B32) Pattern formations in context of PDEs (35B36)

Related Items

BISTABILITY AND TRISTABILITY IN A PREDATOR–PREY MODEL WITH STRONG ALLEE EFFECT IN PREY, A diffusive predator-prey system with prey refuge and predator cannibalism, Bifurcation analysis of a spatial vegetation model, Stability Analysis of a Leslie–Gower Model with Strong Allee Effect on Prey and Fear Effect on Predator, Long-time behavior of a diffusive prey-predator system with Beddington-DeAngelis functional response in heterogeneous environment, Spatiotemporal dynamics of a diffusive Leslie-Gower prey-predator model with strong allee effect, Stability and bifurcation in a single species logistic model with additive Allee effect and feedback control, Global stability of spatially nonhomogeneous steady state solution in a diffusive Holling-Tanner predator-prey model

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