Global stability analysis of a ratio-dependent predator-prey system

DOI10.1007/S10483-008-0407-YzbMath1231.34095OpenAlexW1490546091WikidataQ115605354 ScholiaQ115605354MaRDI QIDQ940599

Yan Liu, Tie-Jun Lu, Mei-Juan Wang

Publication date: 1 September 2008

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10483-008-0407-y

zbMATH Keywords

functional responseHopf bifurcationglobal asymptotic stabilityratio-dependent

Mathematics Subject Classification ID

Global stability of solutions to ordinary differential equations (34D23) Asymptotic properties of solutions to ordinary differential equations (34D05) Ordinary differential equations and connections with real algebraic geometry (fewnomials, desingularization, zeros of abelian integrals, etc.) (34C08)

Related Items (1)

Hopf bifurcation analysis of a predator-prey model with Holling-II type functional response and a prey refuge

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Global qualitative analysis of a ratio-dependent predator-prey system
• Global dynamics of a ratio-dependent predator-prey system
• Parametric analysis of the ratio-dependent predator-prey model
• Global analysis of the Michaelis-Menten-type ratio-dependent predator-prey system
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