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Conservation laws for Lotka–Volterra models

✍ Scribed by Rainer Schimming

Publisher
John Wiley and Sons
Year
2003
Tongue
English
Weight
110 KB
Volume
26
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

We derive necessary and sufficient conditions on a Lotka–Volterra model to admit a conservation law of Volterra's type. The result and the proof for the corresponding linear algebra problem are given in graph‐theoretical terms; they refer to the directed graph which is defined by the coefficients of the differential equation system. Copyright © 2003 John Wiley & Sons, Ltd.

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