A Holling–Tanner Predator–Prey Model with Strong Allee Effect

DOI10.1142/S0218127419300325zbMath1439.34049arXiv1809.05854OpenAlexW3106412178WikidataQ115523696 ScholiaQ115523696MaRDI QIDQ5237506

Claudio Arancibia-Ibarra, Peter van Heijster, José D. Flores, Graeme J. Pettet

Publication date: 18 October 2019

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1809.05854

zbMATH Keywords

bifurcationsstrong allee effectHolling-Tanner type II

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) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (16)

Dynamics of a ratio-dependent Leslie-Gower predator-prey model with Allee effect and fear effect ⋮ Modeling Allee Effect in the Leslie-Gower Predator–Prey System Incorporating a Prey Refuge ⋮ Dynamics of a Leslie-Gower predator-prey model with Holling type II functional response, Allee effect and a generalist predator ⋮ Bogdanov-Takens bifurcation of codimensions 3 and 4 in a Holling and Leslie type predator-prey system with strong Allee effect ⋮ Bogdanov-Takens bifurcation for a diffusive predator-prey system with nonlocal effect and prey refuge ⋮ Stability and Turing patterns of a predator-prey model with Holling type II functional response and Allee effect in predator ⋮ Modelling and analysis of a modified May-Holling-Tanner predator-prey model with allee effect in the prey and an alternative food source for the predator ⋮ Bifurcation analysis of a predator-prey model with predator intraspecific interactions and ratio-dependent functional response ⋮ Turing patterns in a diffusive Holling-Tanner predator-prey model with an alternative food source for the predator ⋮ A modified May-Holling-Tanner predator-prey model with multiple allee effects on the prey and an alternative food source for the predator ⋮ Bifurcation analysis of a Leslie-type predator-prey system with simplified Holling type IV functional response and strong Allee effect on prey ⋮ Fisher-KPP dynamics in diffusive Rosenzweig–MacArthur and Holling–Tanner models ⋮ Canards and homoclinic orbits in a slow-fast modified May-Holling-Tanner predator-prey model with weak multiple allee effect ⋮ Non-constant steady states and Hopf bifurcation of a species interaction model ⋮ Bifurcation analysis of a predator-prey model with strong Allee effect and Beddington-DeAngelis functional response ⋮ Modeling the Allee effect and fear effect in predator-prey system incorporating a prey refuge

Uses Software

• MATCONT

Cites Work

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• MATCONT

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