Analytic Behaviour of Competition among Three Species

Details Analytic Behaviour of Competition among Three Species Analytic Behaviour of Competition among Three Species

2006-09-07

arxiv.org/abs/q-bio/0609010v1

Biology

Quantitative Biology

Populations and Evolution

14 pages, to appear in Journal of Nonlinear Mathematical Physics

Scientific paper

We analyse the classical model of competition between three species studied by May and Leonard ({\it SIAM J Appl Math} \textbf{29} (1975) 243-256) with the approaches of singularity 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.

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