title: |
Competing Species: Integrability and Stability |
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publication: |
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| volume-issue: | 11 - 1 | |
| pages: | 123 - 133 | |
ISSN: |
1402-9251 | |
DOI: |
doi:10.2991/jnmp.2004.11.1.9 (how to use a DOI) | |
author(s): |
PGL LEACH, J MIRITZIS |
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publication date: |
February 2004 |
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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. |
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copyright: |
©
Atlantis Press. This article is distributed under the
terms of the Creative Commons Attribution License, which permits
non-commercial use, distribution and reproduction in any medium,
provided the original work is properly cited. |
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full text: |