A Lyapunov function and global stability for a class of predator-prey models

DOI10.1155/2012/218785zbMath1257.92043OpenAlexW2061412858WikidataQ58700392 ScholiaQ58700392MaRDI QIDQ1936006

Xiaoqin Wang, Huihai Ma

Publication date: 21 February 2013

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/218785

Mathematics Subject Classification ID

Stability theory of functional-differential equations (34K20) Ecology (92D40) Qualitative investigation and simulation of models involving functional-differential equations (34K60)

Related Items (1)

A new approach to global stability of discrete Lotka-Volterra predator-prey models

Cites Work

• Global analysis of Ivlev's type predator-prey dynamic systems
• On global stability of a predator-prey system
• Bifurcation and stability analysis of a temperature-dependent mite predator-prey interaction model incorporating a prey refuge
• Two-parameter bifurcation in a predator-prey system of Ivlev type
• A predator-prey model with Ivlev's functional response
• Global Analysis in a Predator-Prey System with Nonmonotonic Functional Response

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