A predator-prey model with cooperative hunting in the predator and group defense in the prey

DOI10.3934/dcdsb.2021298zbMath1504.34111OpenAlexW4206196031WikidataQ113201448 ScholiaQ113201448MaRDI QIDQ2169030

Yan-fei Du, Junjie Wei, Ben Niu

Publication date: 29 August 2022

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2021298

zbMATH Keywords

Hopf bifurcationBogdanov-Takens bifurcationgroup defensecooperative hunting

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) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Dynamical study of a predator–prey system with Michaelis–Menten type predator-harvesting, Extinction and stationary distribution of stochastic predator-prey model with group defense behavior

Uses Software

• MATCONT

Cites Work

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• MATCONT