A geometric investigation of the invariant algebraic curves in two dimensional Lotka-Volterra systems

DOI10.1007/s11786-017-0311-7zbMath1385.34033OpenAlexW2608696881MaRDI QIDQ1701636

Colin Christopher, Wuria Muhammad Ameen Hussein

Publication date: 27 February 2018

Published in: Mathematics in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11786-017-0311-7

zbMATH Keywords

Darboux integrabilityinvariant algebraic curveLotka-Volterra system

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Invariant manifolds for ordinary differential equations (34C45)

Cites Work

• Unnamed Item
• Invariant algebraic curves of large degree for quadratic system
• Liouvillian integration of the Lotka-Volterra system
• On the 16th Hilbert problem for algebraic limit cycles
• Liouvillian first integrals for the planar Lotka-Volterra system