On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems
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Publication:4991848
DOI10.1080/10236198.2021.1894141zbMath1475.37102arXiv2102.09276OpenAlexW3133932271MaRDI QIDQ4991848
Publication date: 4 June 2021
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2102.09276
existenceuniquenesscarrying simplexdominant speciesdiscrete competitive modelsretrotone mapsvanishing species
Dynamical systems in biology (37N25) Population dynamics (general) (92D25) General biology and biomathematics (92B05) Applications of difference equations (39A60)
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Cites Work
- On heteroclinic cycles of competitive maps via carrying simplices
- On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex
- Geometric method for global stability of discrete population models
- Carrying simplices in discrete competitive systems and age-structured semelparous popula\-tions
- Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding
- On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex
- Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems
- On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points
- Convex geometry of the carrying simplex for the May-Leonard map
- Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems
- Global stability of higher dimensional monotone maps
- On existence and uniqueness of the carrying simplex for competitive dynamical systems
- Systems of differential equations which are competitive or cooperative: III. Competing species
- Global stability of discrete-time competitive population models
- A note on global stability of three-dimensional Ricker models
- Exclusion and dominance in discrete population models via the carrying simplex
- On existence and uniqueness of a carrying simplex in Kolmogorov differential systems
- On the dynamics of multi-species Ricker models admitting a carrying simplex
- The general properties of dicrete-time competitive dynamical systems
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