Non-associative algebra and Lotka-Volterra equation with ternary interaction

DOI10.1016/0362-546X(81)90069-9zbMath0456.92017OpenAlexW1976260640MaRDI QIDQ3905120

Yoshiaki Itoh

Publication date: 1981

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(81)90069-9

zbMATH Keywords

asymptotic stabilityLotka-Volterra equationhigher order interactions of competition

Mathematics Subject Classification ID

Population dynamics (general) (92D25) Stability of solutions to ordinary differential equations (34D20) Ecology (92D40) Asymptotic properties of solutions to ordinary differential equations (34D05) Other nonassociative rings and algebras (17D99)

Related Items (6)

Lotka–Volterra coalgebras ⋮ Gonosomal algebras and associated discrete-time dynamical systems ⋮ A flow of quantum genetic Lotka-Volterra algebras on \(\mathbb{M}_2(\mathbb{C})\) ⋮ Derivations of Lotka-Volterra algebras ⋮ On Lotka–Volterra algebras ⋮ Random collision model for random genetic drift and stochastic difference equation

Cites Work

• Unnamed Item
• On a ruin problem with interaction
• Nonassociative, real algebras and quadratic differential equations
• An $H$-theorem for a system of competing species
• Random collision models in oriented graphs
• Boltzmann equation on some algebraic structure concerning struggle for existence

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