Exclusion and dominance in discrete population models via the carrying simplex
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Publication:4908672
DOI10.1080/10236198.2011.628663zbMath1303.92107OpenAlexW2077278798MaRDI QIDQ4908672
Publication date: 6 March 2013
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/10236198.2011.628663
Population dynamics (general) (92D25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30)
Related Items (29)
Simple dynamics in non-monotone Kolmogorov systems ⋮ Convex geometry of the carrying simplex for the May-Leonard map ⋮ Global dynamics of delay equations for populations with competition among immature individuals ⋮ Trivial dynamics in discrete-time systems: carrying simplex and translation arcs ⋮ Hopf bifurcations in 3D competitive system with mixing exponential and rational growth rates ⋮ On the classification of generalized competitive Atkinson-Allen models via the dynamics on the boundary of the carrying simplex ⋮ Three limit cycles for 3D Ricker competitive system ⋮ On global dynamics of type-K competitive Kolmogorov differential systems ⋮ The property of convex carrying simplices for competitive maps ⋮ Global attraction and repulsion of a heteroclinic limit cycle in three dimensional Kolmogorov maps ⋮ A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds ⋮ n -dimensional Kolmogorov maps, carrying simplices, and bifurcations at the origin ⋮ On existence and uniqueness of a carrying simplex in Kolmogorov differential systems ⋮ A note on global stability of three-dimensional Ricker models ⋮ Chaotic attractors in the four-dimensional Leslie-Gower competition model ⋮ Chaotic attractors in Atkinson–Allen model of four competing species ⋮ On the equivalent classification of three-dimensional competitive Leslie/Gower models via the boundary dynamics on the carrying simplex ⋮ Linearization and invariant manifolds on the carrying simplex for competitive maps ⋮ TheC1property of convex carrying simplices for three-dimensional competitive maps ⋮ Carrying simplex in the Lotka-Volterra competition model with seasonal succession with applications ⋮ On the dynamics of multi-species Ricker models admitting a carrying simplex ⋮ Invariant manifolds of competitive selection-recombination dynamics ⋮ On the equivalent classification of three-dimensional competitive Atkinson/Allen models relative to the boundary fixed points ⋮ Permanence and universal classification of discrete-time competitive systems via the carrying simplex ⋮ Convexity of the carrying simplex for discrete-time planar competitive Kolmogorov systems ⋮ Global dynamics of a special class of nonlinear semelparous Leslie matrix models ⋮ On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems ⋮ Geometric method for global stability of discrete population models ⋮ On heteroclinic cycles of competitive maps via carrying simplices
Cites Work
- Competitive-exclusion versus competitive-coexistence for systems in the plane
- Smoothness of the carrying simplex for discrete-time competitive dynamical systems: A characterization of neat embedding
- Periodic competitive differential equations and the discrete dynamics of competitive maps
- Mutual exclusion versus coexistence for discrete competitive systems
- Geometry of exclusion principles in discrete systems
- Homeomorphisms of the disk with trivial dynamics and extinction of competitive systems
- The effects of planting and harvesting on endangered species in discrete competitive systems
- On existence and uniqueness of the carrying simplex for competitive dynamical systems
- Coexistence and extinction in a competitive exclusion Leslie/Gower model with harvesting and stocking
- Planar competitive and cooperative difference equations
- Species extinction using geometry of level surfaces
- An exclusion principle for periodic competitive systems in three dimensions
- Some Discrete Competition Models and the Competitive Exclusion Principle†
- Convex dominates concave: An exclusion principle in discrete-time Kolmogorov systems
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