Journal of Nonlinear Mathematical Physics

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Volume 11, Issue 1, February 2004, Pages 123 - 133

Competing Species: Integrability and Stability

Authors
P.G.L. Leach, J. Miritzis
Corresponding Author
P.G.L. Leach
Received 4 June 2003, Accepted 4 August 2003, Available Online 1 February 2004.
DOI
10.2991/jnmp.2004.11.1.9How to use a DOI?
Abstract

We examine the classical model of two competing species for integrability in terms of analytic functions by means of the Painlevé analysis. We find that the governing equations are integrable for certain values of the essential parameters of the system. We find that, for all integrable cases with the nontrivial equilibrium point in the physically acceptable region, the nontrivial equilibrium point is stable.

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
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
11 - 1
Pages
123 - 133
Publication Date
2004/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2004.11.1.9How 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  - 2004
DA  - 2004/02/01
TI  - Competing Species: Integrability and Stability
JO  - Journal of Nonlinear Mathematical Physics
SP  - 123
EP  - 133
VL  - 11
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2004.11.1.9
DO  - 10.2991/jnmp.2004.11.1.9
ID  - Leach2004
ER  -