Convexity of non-compact carrying simplices in logarithmic coordinates

DOI10.1080/10236198.2024.2369215MaRDI QIDQ6633398

Author name not available (Why is that?), Stephen Baigent

Publication date: 5 November 2024

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

Mathematics Subject Classification ID

Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) General theory of difference equations (39A05) Stability theory for difference equations (39A30)

Cites Work

• Title not available (Why is that?)
• Positive dynamical systems in discrete time. Theory, models and applications
• Carrying simplices for competitive maps
• Local stability implies global stability for the planar Ricker competition model
• Convex geometry of the carrying simplex for the May-Leonard map
• Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems
• THE PROPERTIES OF A STOCHASTIC MODEL FOR TWO COMPETING SPECIES
• On existence and uniqueness of the carrying simplex for competitive dynamical systems
• Planar competitive and cooperative difference equations
• Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
• Some Discrete Competition Models and the Competitive Exclusion Principle^†
• Exclusion and dominance in discrete population models via the carrying simplex
• On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems
• The Lambert W Function
• The theorem of the carrying simplex for competitive system defined on the n-rectangle and its application to a three-dimensional system
• A Note on Proper Maps
• On the dynamics of multi-species Ricker models admitting a carrying simplex
• Existence of the carrying simplex for a retrotone map
• A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds

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