Degenerate Bogdanov-Takens bifurcation of codimension 4 in Holling-Tanner model with harvesting

DOI10.1016/j.jde.2022.01.016zbMath1489.34077OpenAlexW4206126464MaRDI QIDQ2074453

Min Lu, Chuang Xiang, Ji-Cai Huang

Publication date: 10 February 2022

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2022.01.016

zbMATH Keywords

Hopf bifurcationHolling-Tanner modelcoextinctionconstant-yield prey harvestingdegenerate Bogdanov-Takens bifurcation of codimension 4

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) 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) Asymptotic properties of solutions to ordinary differential equations (34D05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Bifurcations driven by generalist and specialist predation: mathematical interpretation of Fennoscandia phenomenon, An Organizing Center of Codimension Four in a Predator-Prey Model with Generalist Predator: From Tristability and Quadristability to Transients in a Nonlinear Environmental Change, Bifurcation analysis and simulations of a modified Leslie–Gower predator–prey model with constant‐type prey harvesting

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