Lagrangian structure of the two-dimensional Lotka-Volterra system
type: Item
instance of: scholarly article
title: Lagrangian structure of the two-dimensional Lotka-Volterra system
zbMATH Open document ID: 0945.34003
DOI: 10.1023/A:1026683412710
published in: International Journal of Theoretical Physics
publication date: 2000-09-19T00:00:00Z
review text: The two-dimensional Lotka-Volterra system describing the dynamics of self-regulating predator-prey ecosystems is studied. It is shown that this two-dimensional system has a Lagrangian structure with the Lagrangian linear in velocities and therefore singular but with unique dynamics. The constructive version of the Noether theorem is used to find the symmetries and first integrals to this system.
Mathematics Subject Classification ID: 34A26
Mathematics Subject Classification ID: 92D40
Mathematics Subject Classification ID: 34A34
zbMATH DE Number: 1337982
zbMATH Keywords: Lagrangian function
zbMATH Keywords: generalized Noether theorem
zbMATH Keywords: first integral
author: José Fernández Núñez
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1337982