High codimension bifurcations analysis in a predator-prey system with Michaelis-Menten type predator harvesting
DOI10.3934/dcdsb.2024023zbMath1548.34054MaRDI QIDQ6587536
Ming Liu, Lifang Cheng, Dongpo Hu, Rongxue Du, Zhaowen Zheng
Publication date: 14 August 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
center manifold theoremnormal formpredator-prey systemBautin bifurcationcusp bifurcationBogdanov-Takens bifurcation of codimension three
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) Invariant manifolds for ordinary differential equations (34C45) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)
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