Dynamics of a ratio-dependent predator-prey system with a strong Allee effect

DOI10.3934/DCDSB.2013.18.2283zbMath1281.34080OpenAlexW2333257432MaRDI QIDQ379065

Yujing Gao, Bingtuan Li

Publication date: 12 November 2013

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2013.18.2283

zbMATH Keywords

limit cycleHopf bifurcationheteroclinic orbitBogdanov-Takens bifurcationAllee effectratio-dependent predator-prey system

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (8)

Spatiotemporal Patterns of a Predator–Prey System with an Allee Effect and Holling Type III Functional Response ⋮ Dynamical Complexity and Numerical Bifurcation Analysis of a ReactionDiffusion Predator-Prey System ⋮ Dynamical behaviors of a constant prey refuge ratio-dependent prey–predator model with Allee and fear effects ⋮ Hopf bifurcation and stability analysis of an predator-prey system with Holling type IV functional response ⋮ Modeling the effect of prey refuge on a ratio-dependent predator-prey system with the Allee effect ⋮ Bifurcation analysis in a predator-prey system with a functional response increasing in both predator and prey densities ⋮ Qualitative analysis of a predator-prey system with double Allee effect in prey ⋮ Dynamics of predator-prey models with a strong Allee effect on the prey and predator-dependent trophic functions

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