Journal of Nonlinear Mathematical Physics

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Volume 7, Issue 4, November 2000, Pages 511 - 531

Darboux First Integral Conditions and Integrability of the 3D Lotka-Volterra System

Authors
Laurent Cairó
Corresponding Author
Laurent Cairó
Received 14 March 2000, Accepted 5 May 2000, Available Online 1 November 2000.
DOI
10.2991/jnmp.2000.7.4.8How to use a DOI?
Abstract

We apply the Darboux theory of integrability to polynomial ODE's of dimension 3. Using this theory and computer algebra, we study the existence of first integrals for the 3­dimensional Lotka­Volterra systems with polynomial invariant algebraic solutions linear and quadratic and determine numerous cases of integrability.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
7 - 4
Pages
511 - 531
Publication Date
2000/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2000.7.4.8How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Laurent Cairó
PY  - 2000
DA  - 2000/11/01
TI  - Darboux First Integral Conditions and Integrability of the 3D Lotka-Volterra System
JO  - Journal of Nonlinear Mathematical Physics
SP  - 511
EP  - 531
VL  - 7
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2000.7.4.8
DO  - 10.2991/jnmp.2000.7.4.8
ID  - Cairó2000
ER  -