Rings of constants of four-variable Lotka-Volterra systems

• Autorzy: Janusz Zieliński
• Języki publikacji: EN

Abstrakty

EN

Lotka-Volterra systems appear in population biology, plasma physics, laser physics and derivation theory, among many others. We determine the rings of constants of four-variable Lotka-Volterra derivations with four parameters C 1, C 2, C 3, C 4 ∈ k, where k is a field of characteristic zero. Thus, we give a full description of polynomial first integrals of the respective systems of differential equations.

Słowa kluczowe

EN

Lotka-Volterra derivation; Polynomial constant; Polynomial first integral

Kategorie tematyczne

• 12H05: Differential algebra
• 34A34: Nonlinear equations and systems, general
• 13N15: Derivations
• 92D25: Population dynamics (general)

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2013
• Tom: 11
• Numer: 11
• Strony: 1923-1931

Daty

wydano

2013-11-01

online

2013-08-23

Twórcy

autor

Janusz Zieliński

• Nicolaus Copernicus University

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-013-0300-2