A nullcline approach to global stability in discrete-time predator–prey models

DOI10.1080/10236198.2021.1963440zbMath1475.92120OpenAlexW3198420955WikidataQ115550380 ScholiaQ115550380MaRDI QIDQ5163953

Amy Veprauskas, Azmy S. Ackleh, Paul L. Salceanu

Publication date: 9 November 2021

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236198.2021.1963440

zbMATH Keywords

perturbationglobal stabilityrobust uniform persistencediscrete-time predator-prey modelsnullcline analysis

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Ecology (92D40) Stability theory for difference equations (39A30)

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A discrete-time predator-prey model with selection and mutation

Cites Work

• Stable periodic solution of the discrete periodic Leslie-Gower predator-prey model
• Robust uniform persistence in discrete and continuous dynamical systems using Lyapunov exponents
• Permanence and global stability of positive solutions of a nonautonomous discrete ratio-dependent predator-prey model
• On a discrete selection–mutation model
• Perturbation of a globally stable steady state
• Long-term dynamics of discrete-time predator–prey models: stability of equilibria, cycles and chaos
• Persistence and stability analysis of discrete-time predator–prey models: a study of population and evolutionary dynamics
• Evolutionary Game Theory, Natural Selection, and Darwinian Dynamics