Hopf Cyclicity and Global Dynamics for a Predator–Prey System of Leslie Type with Simplified Holling Type IV Functional Response

DOI10.1142/S0218127418501663zbMath1406.34071arXiv1806.04390OpenAlexW3103319120WikidataQ115523704 ScholiaQ115523704MaRDI QIDQ4647447

Yulin Zhao, Yanfei Dai

Publication date: 15 January 2019

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

Full work available at URL: https://arxiv.org/abs/1806.04390

zbMATH Keywords

limit cycleglobal stabilityHopf cyclicitypredator-prey model of Leslie typesimplified Holling type IV functional response

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) Global stability of solutions to ordinary differential equations (34D23)

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