TheC1property of convex carrying simplices for three-dimensional competitive maps
Author:
Affiliation:
1. Faculty of Pure and Applied Mathematics, Wrocław University of Science and Technology , Wrocław, Poland.
Funder
Times Higher Education
the Wroclaw University of Science and Technology
Publisher
Informa UK Limited
Subject
Applied Mathematics,Algebra and Number Theory,Analysis
Link
https://www.tandfonline.com/doi/pdf/10.1080/10236198.2018.1428964
Reference32 articles.
1. Convexity-preserving flows of totally competitive planar Lotka–Volterra equations and the geometry of the carrying simplex
2. Geometry of carrying simplices of 3-species competitive Lotka–Volterra systems
3. Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems
4. Global stability of discrete-time competitive population models
5. On Invariant Hypersurfaces of Strongly Monotone Maps
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1. n-dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin;Journal of Difference Equations and Applications;2023-10-13
2. Permanence and universal classification of discrete-time competitive systems via the carrying simplex;Discrete & Continuous Dynamical Systems - A;2020
3. Linearization and invariant manifolds on the carrying simplex for competitive maps;Journal of Differential Equations;2019-12
4. The property of convex carrying simplices for competitive maps;Ergodic Theory and Dynamical Systems;2018-10-17
5. Trivial dynamics in discrete-time systems: carrying simplex and translation arcs;Nonlinearity;2018-04-27
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