Analytic Behaviour of Competition among Three Species
- 10.2991/jnmp.2006.13.4.8How to use a DOI?
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.
- © 2006, the Authors. Published by Atlantis Press.
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Cite this article
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 -