A note on a parameter bound for global stability in the 2D Coupled Ricker equation

DOI10.1080/10236198.2017.1404039zbMath1456.37104OpenAlexW2770697325MaRDI QIDQ5374273

Brian Ryals

Publication date: 10 April 2018

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

Full work available at URL: https://doi.org/10.1080/10236198.2017.1404039

zbMATH Keywords

global stabilitypopulation dynamics2D competition model

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Discrete version of topics in analysis (39A12) Stability theory for difference equations (39A30)

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A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds, The effects of evolution on the stability of competing species

Cites Work

• Global stability in the 2D Ricker equation revisited
• Local stability implies global stability for the planar Ricker competition model
• Global stability in the 2D Ricker equation