Bogdanov–Takens bifurcation with codimension three of a predator–prey system suffering the additive Allee effect

DOI10.1142/S1793524517500449zbMath1367.34060OpenAlexW2556585285WikidataQ115522789 ScholiaQ115522789MaRDI QIDQ2977895

Yanwei Liu, Ruiqi Wang, Zeng-Rong Liu

Publication date: 20 April 2017

Published in: International Journal of Biomathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s1793524517500449

zbMATH Keywords

Bogdanov-Takens bifurcationAllee effectuniversal unfolding

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) Bifurcations of singular points in dynamical systems (37G10) Qualitative investigation and simulation of ordinary differential equation models (34C60) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (7)

Bifurcations in a modified Leslie-Gower predator-prey discrete model with Michaelis-Menten prey harvesting ⋮ Bifurcation analysis and pattern formation of predator-prey dynamics with Allee effect in predator population ⋮ Codimension-2 bifurcation in a discrete predator–prey system with constant yield predator harvesting ⋮ Stability and Bifurcation Analysis of a Commensal Model with Additive Allee Effect and Nonlinear Growth Rate ⋮ Bogdanov-Takens bifurcation in a Leslie type tritrophic model with general functional responses ⋮ Hopf and Bogdanov–Takens Bifurcations of a Delayed Bazykin Model ⋮ Stability and bifurcation in a single species logistic model with additive Allee effect and feedback control

Cites Work

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