Global analysis of Ivlev's type predator-prey dynamic systems

DOI10.1007/s10483-007-0406-1zbMath1231.37054OpenAlexW1996776961WikidataQ115605356 ScholiaQ115605356MaRDI QIDQ940257

Hai-Bin Xiao

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/s10483-007-0406-1

zbMATH Keywords

limit cycleglobal stabilityexistence and uniquenessdensity restrictIvlev's type functional response

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) General biology and biomathematics (92B05)

Related Items (5)

Qualitative analysis on a predator-prey model with Ivlev functional response ⋮ Dynamics of a Ivlev-type predator-prey system with constant rate harvesting ⋮ A Lyapunov function and global stability for a class of predator-prey models ⋮ A new approach to global stability of discrete Lotka-Volterra predator-prey models ⋮ Stability and Hopf bifurcation analysis of a predator-prey model with time delayed incomplete trophic transfer

Cites Work

• Two-parameter bifurcation in a predator-prey system of Ivlev type
• A predator-prey model with Ivlev's functional response
• Unnamed Item

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