Hamiltonian structure of the Lotka-Volterra equations

Date

1990

Authors

Nutku, Y.

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Abstract

The Lotka-Volterra equations governing predator-prey relations are shown to admit Hamiltonian structure with respect to a generalized Poisson bracket. These equations provide an example of a system for which the naive criterion for the existence of Hamiltonian structure fails. We show further that there is a three-component generalization of the Lotka-Volterra equations which is a bi-Hamiltonian system. © 1990.

Source Title

Physics Letters A

Publisher

Elsevier

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Published Version (Please cite this version)

Language

English