Long-term dynamics of discrete-time predator–prey models: stability of equilibria, cycles and chaos

DOI10.1080/10236198.2020.1786818zbMath1467.92148OpenAlexW3041974093WikidataQ115550401 ScholiaQ115550401MaRDI QIDQ4991428

Azmy S. Ackleh, Md. Istiaq Hossain, Amy Veprauskas, Aijun Zhang

Publication date: 3 June 2021

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

Full work available at URL: https://doi.org/10.1080/10236198.2020.1786818

zbMATH Keywords

stabilitychaoscyclesLyapunov functionsDarwinian dynamicsdiscrete-time predator-prey modelsperturbations of globally stable equilibria

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Population dynamics (general) (92D25) Stability theory for difference equations (39A30) Chaotic behavior of solutions of difference equations (39A33)

Related Items

Stability, collapse and hyperchaos in a class of tri-trophic predator-prey models, A discrete-time predator-prey model with selection and mutation, A nullcline approach to global stability in discrete-time predator–prey models, Persistence and stability analysis of discrete-time predator–prey models: a study of population and evolutionary dynamics, Persistence of a discrete-time predator-prey model with stage-structure in the predator

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