Journal of Nonlinear Mathematical Physics

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Volume 13, Issue 4, November 2006, Pages 535 - 548

Analytic Behaviour of Competition among Three Species

Authors
P.G.L. Leach, J. Miritzis
Corresponding Author
P.G.L. Leach
Received 9 January 2006, Accepted 25 April 2006, Available Online 1 November 2006.
DOI
10.2991/jnmp.2006.13.4.8How to use a DOI?
Abstract

We analyse the classical model of competition between three species studied by May and Leonard (SIAM J Appl Math 29 (1975) 243-256) with the approaches of singlarity analysis and symmetry analysis to identify values of the parameters for which the system is integrable. We observe some striking relations between critical values arising from the approach of dynamical systems and the singularity and symmetry analyses.

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
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
13 - 4
Pages
535 - 548
Publication Date
2006/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2006.13.4.8How 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  - P.G.L. Leach
AU  - J. Miritzis
PY  - 2006
DA  - 2006/11/01
TI  - Analytic Behaviour of Competition among Three Species
JO  - Journal of Nonlinear Mathematical Physics
SP  - 535
EP  - 548
VL  - 13
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2006.13.4.8
DO  - 10.2991/jnmp.2006.13.4.8
ID  - Leach2006
ER  -