Stability and Bifurcation Analysis in a Nonlinear Harvested Predator–Prey Model with Simplified Holling Type IV Functional Response

DOI10.1142/S0218127420502053zbMath1457.34081OpenAlexW3108516233WikidataQ115523558 ScholiaQ115523558MaRDI QIDQ5138333

Jun Miao, Lijuan Duan, YuanHua Qiao, Zuchong Shang

Publication date: 3 December 2020

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

Full work available at URL: https://doi.org/10.1142/s0218127420502053

zbMATH Keywords

predator-prey modelBogdanov-Takens bifurcationnonlinear harvestingsimplified Holling type IV

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Ordinary differential equations with impulses (34A37) 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) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

Related Items (4)

Bogdanov-Takens bifurcation of codimensions 3 and 4 in a Holling and Leslie type predator-prey system with strong Allee effect ⋮ Bifurcation analysis of a Leslie-type predator-prey system with simplified Holling type IV functional response and strong Allee effect on prey ⋮ Multiple bifurcations in a predator-prey system of modified Holling and Leslie type with double Allee effect and nonlinear harvesting ⋮ Subcritical Neimark–Sacker bifurcation and hybrid control in a discrete-time Phytoplankton–Zooplankton model

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