Darboux First Integral Conditions and Integrability of the 3D Lotka-Volterra System

DOI10.2991/jnmp.2000.7.4.8zbMath0976.34028arXivnlin/0010059OpenAlexW4234371024MaRDI QIDQ4521202

Laurent Cairó

Publication date: 12 December 2001

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/nlin/0010059

zbMATH Keywords

Lotka-Volterra systemDarboux first integral

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Qualitative investigation and simulation of ordinary differential equation models (34C60)

Related Items (11)

Orbital Linearization in the Quadratic Lotka–Volterra Systems Around Singular Points Via Lie Symmetries ⋮ Discontinuous Galerkin \(h p\)-adaptive methods for multiscale chemical reactors: quiescent reactors ⋮ Linear Darboux polynomials for Lotka–Volterra systems, trees and superintegrable families ⋮ Local integrability of a family of three-dimensional quadratic systems ⋮ On the complete integrability and linearization of nonlinear ordinary differential equations. III. Coupled first-order equations ⋮ Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2 ⋮ Three-dimensional Lotka-Volterra systems with 3:\(-1\):2-resonance ⋮ Complex dynamics in a three-level trophic system with intraspecies interaction ⋮ Integrability and linearizability of a family of three-dimensional quadratic systems ⋮ Local integrability and linearizability of three-dimensional Lotka-Volterra systems ⋮ First integrals of Darboux type for a family of 3-dimensional Lotka-Volterra systems

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