Three limit cycles for 3D Ricker competitive system
DOI10.3934/dcdsb.2023103OpenAlexW4379232623MaRDI QIDQ6070666
Publication date: 23 November 2023
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2023103
Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Population dynamics (general) (92D25) Theory of limit cycles of polynomial and analytic vector fields (existence, uniqueness, bounds, Hilbert's 16th problem and ramifications) for ordinary differential equations (34C07) Qualitative investigation and simulation of ordinary differential equation models (34C60)
Cites Work
- Unnamed Item
- On heteroclinic cycles of competitive maps via carrying simplices
- A concrete example with three limit cycles in Zeeman's class 29 for three dimensional Lotka-Volterra competitive systems
- A 3D competitive Lotka-Volterra system with three limit cycles: a falsification of a conjecture by Hofbauer and So
- Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
- Applications of centre manifold theory
- Asymptotic analysis of interactions between highly conducting cylinders
- Uniqueness and attractivity of the carrying simplex for discrete-time competitive dynamical systems
- Dynamics of the periodic type-\(K\) competitive Kolmogorov systems
- A concrete example with multiple limit cycles for three dimensional Lotka-Volterra systems
- On the validity of Zeeman's classification for three dimensional competitive differential equations with linearly determined nullclines
- On the first Lyapunov coefficient formula of 3D Lotka-Volterra equations with applications to multiplicity of limit cycles
- Systems of differential equations which are competitive or cooperative: III. Competing species
- Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
- The dynamical behaviour of type-K competitive Kolmogorov systems and its application to three-dimensional type-K competitive Lotka Volterra systems
- 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 modified carrying simplex for discrete Kolmogorov systems
- On existence and uniqueness of a carrying simplex in Kolmogorov differential systems
This page was built for publication: Three limit cycles for 3D Ricker competitive system