A global picture for the planar Ricker map: convergence to fixed points and identification of the stable/unstable manifolds
From MaRDI portal
Publication:6167562
DOI10.1080/10236198.2023.2222855zbMath1519.39012MaRDI QIDQ6167562
No author found.
Publication date: 7 August 2023
Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)
Population dynamics (general) (92D25) Ecology (92D40) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Stability theory for difference equations (39A30)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Global stability in the 2D Ricker equation revisited
- Dynamics of games and genes: Discrete versus continuous time
- The stability and control of discrete processes
- The discrete dynamics of symmetric competition in the plane
- Stability in a class of discrete time models of interacting populations
- Local stability implies global stability for the planar Ricker competition model
- Global stability in the 2D Ricker equation
- Open problems in some competition models
- On existence and uniqueness of the carrying simplex for competitive dynamical systems
- Planar competitive and cooperative difference equations
- Global stability of discrete-time competitive population models
- Computing One-Dimensional Stable Manifolds and Stable Sets of Planar Maps without the Inverse
- Exclusion and dominance in discrete population models via the carrying simplex
- On existence and uniqueness of a modified carrying simplex for discrete Kolmogorov systems
- On the dynamics of multi-species Ricker models admitting a carrying simplex
- Lotka–Volterra Dynamical Systems
- A note on a parameter bound for global stability in the 2D Coupled Ricker equation
- Stability of a Ricker-type competition model and the competitive exclusion principle