Geometry and global stability of 2D periodic monotone maps

DOI10.1007/s10884-021-10089-zzbMath1523.39007OpenAlexW3205299635WikidataQ115382962 ScholiaQ115382962MaRDI QIDQ6132874

Rafael Luís, Eduardo Cabral Balreira

Publication date: 17 August 2023

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-021-10089-z

zbMATH Keywords

global stabilitycompetition modelsmonotone mapsperiodic mapsKolmogorov maps

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Periodic solutions of difference equations (39A23) Stability theory for difference equations (39A30)

Cites Work

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• A note on periodic Ricker maps
• On existence and uniqueness of the carrying simplex for competitive dynamical systems
• Planar competitive and cooperative difference equations
• Competitive exclusion and coexistence for competitive systems on ordered Banach spaces
• On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems
• Stability of a Ricker-type competition model and the competitive exclusion principle

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