On the global flow of a 3-dimensional Lotka-Volterra system

DOI10.1016/j.na.2012.03.002zbMath1246.37075OpenAlexW1999245558MaRDI QIDQ417789

Gamaliel Blé, Jaume Llibre, Justino Alavez-Ramírez, Víctor Castellanos

Publication date: 14 May 2012

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2012.03.002

zbMATH Keywords

Higgs fieldPoincaré ballqualitative analysis of the flowthree dimensional Lotka-Volterra system

Mathematics Subject Classification ID

Strange attractors, chaotic dynamics of systems with hyperbolic behavior (37D45) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15)

Related Items (13)

Dynamics of a competitive Lotka-Volterra systems in \(\mathbb{R}^3\) ⋮ Planar Kolmogorov Systems with Infinitely Many Singular Points at Infinity ⋮ Dynamics of some three-dimensional Lotka-Volterra systems ⋮ Unnamed Item ⋮ Dynamics of a family of Lotka-Volterra systems in \(\mathbb{R}^3\) ⋮ Final evolutions for simplified multistrain/two-stream model for tuberculosis and Dengue fever ⋮ Unnamed Item ⋮ Local integrability of a family of three-dimensional quadratic systems ⋮ Planar Kolmogorov Systems Coming from Spatial Lotka–Volterra Systems ⋮ Phase portraits of a family of Kolmogorov systems with infinitely many singular points at infinity ⋮ Darboux theory of integrability for a class of nonautonomous vector fields ⋮ Three-dimensional Lotka-Volterra systems with 3:\(-1\):2-resonance ⋮ Global dynamics of a virus model with invariant algebraic surfaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Dynamical systems I. Ordinary differential equations and smooth dynamical systems. Transl. from the Russian
• Mass inflation and chaotic behaviour inside hairy black holes
• Qualitative theory of planar differential systems
• Investigation of the behaviour of the integral curves of a system of two differential equations in the neighbourhood of a singular point
• Bounded Polynomial Vector Fields
• Generic Properties of Polynomial Vector Fields at Infinity
• Invariant manifolds

This page was built for publication: On the global flow of a 3-dimensional Lotka-Volterra system