On the Integrability of Lotka–Volterra Equations: An Update

DOI10.1007/978-3-319-31323-8_5zbMath1365.37042OpenAlexW2513416030MaRDI QIDQ5270271

Zhaoxia Wang, Wuria Muhammad Ameen Hussein, Colin Christopher

Publication date: 23 June 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-31323-8_5

zbMATH Keywords

monodromyLotka-Volterra equationsinvariant algebraic curvesDarboux methodmonodromy methodintegrable critical points

Mathematics Subject Classification ID

Dynamical systems in biology (37N25) Population dynamics (general) (92D25) Completely integrable finite-dimensional Hamiltonian systems, integration methods, integrability tests (37J35) Flows on surfaces (37E35) Dynamical systems involving relations and correspondences in one complex variable (37F05)

Cites Work

• Integrability and linearizability of the Lotka-Volterra system with a saddle point with rational hyperbolicity ratio
• Integrability and linearizability of the Lotka-Volterra systems.
• Liouvillian integration of the Lotka-Volterra system
• Normalizable, integrable and linearizable saddle points in the Lotka-Volterra system

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