Global dynamics of a family of 3-D Lotka–Volterra systems

DOI10.1080/14689360903575196zbMath1221.37105arXiv1503.05757OpenAlexW2135608599MaRDI QIDQ3580100

Adrian C. Murza, Antonio E. Teruel

Publication date: 11 August 2010

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1503.05757

zbMATH Keywords

integrabilitylimit setsfirst integralsLotka-Volterra systembifurcation setflow description

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Dynamical aspects of attractors and their bifurcations (37G35)

Related Items (4)

Integrability and linearizability problems of three dimensional Lotka-Volterra equations of rank-2 ⋮ Hopf bifurcations in a predator-prey model with an omnivore ⋮ Three-dimensional Lotka-Volterra systems with 3:\(-1\):2-resonance ⋮ Integrability and linearizability of a family of three-dimensional quadratic systems

Cites Work

• Invariant hyperplanes and Darboux integrability for \(d\)-dimensional polynomial differential systems
• Systems of differential equations which are competitive or cooperative: III. Competing species
• Global Attractivity in Delayed Hopfield Neural Network Models
• Hopf bifurcations in competitive three-dimensional Lotka–Volterra systems
• Invariant algebraic curves and conditions for a centre
• Evolutionary Games and Population Dynamics
• Darboux integrability for 3D Lotka-Volterra systems
• Jordan Manifolds and Dispersionless KdV Equations
• The three-dimensional generalized Lotka–Volterra systems

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