Direct integration method and first integrals for three-dimensional Lotka-Volterra systems
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Publication:1966861
DOI10.1016/S0375-9601(99)00193-0zbMath0939.34006WikidataQ126551437 ScholiaQ126551437MaRDI QIDQ1966861
Publication date: 8 March 2000
Published in: Physics Letters. A (Search for Journal in Brave)
Classical flows, reactions, etc. in chemistry (92E20) Nonlinear ordinary differential equations and systems (34A34) Population dynamics (general) (92D25) Explicit solutions, first integrals of ordinary differential equations (34A05)
Related Items (2)
Hamiltonian structure and first integrals for the Lotka-Volterra systems ⋮ On the first integrals of Lotka-Volterra systems
Cites Work
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- Integrals of quadratic ordinary differential equations in \(\mathbb R^3\): the Lotka-Volterra system
- An indirect method of finding integrals for three-dimensional quadratic homogeneous systems
- Families of invariants of the motion for the Lotka–Volterra equations: The linear polynomials family
- Poisson structure of dynamical systems with three degrees of freedom
- Bi-Hamiltonian systems and Lotka - Volterra equations: a three-dimensional classification
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