Global stability in \(n\)-dimensional discrete Lotka-Volterra predator-prey models

DOI10.1186/1687-1847-2014-11zbMath1417.34039OpenAlexW2068587630WikidataQ59319534 ScholiaQ59319534MaRDI QIDQ1994325

Sangmok Choo

Publication date: 1 November 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2014-11

zbMATH Keywords

global stabilitypredator-prey modelsEuler discrete schemes

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Convergence and divergence of series and sequences (40A05) Additive difference equations (39A10) Global stability of solutions to ordinary differential equations (34D23) Dynamical systems in classical and celestial mechanics (37N05)

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Cites Work

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• Dynamic behaviors of a discrete two species predator-prey system incorporating harvesting
• Differentiability of the Hartman-Grobman linearization
• Dynamically consistent discrete-time Lotka-Volterra competition models

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