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Página principal > Artículos > Artículos publicados > Proper rational and analytic first integrals for asymmetric 3-dimensional Lotka-Volterra systems |
Fecha: | 2017 |
Resumen: | We go beyond in the study of the integrability of the classical model of competition between three species studied by May and Leonard [19], by considering a more realistic asymmetric model. Our results show that there are no global analytic first integrals and we provide all proper rational first integrals of this extended model by classifying its invariant algebraic surfaces. |
Ayudas: | Ministerio de Economía y Competitividad MTM2016-77278-P Ministerio de Economía y Competitividad MTM2013-40998-P Agència de Gestió d'Ajuts Universitaris i de Recerca 2014/SGR-568 |
Nota: | Agraïments: The second author is partially supported by FCT/Portugal through UID/MAT/04459/2013. |
Derechos: | Tots els drets reservats. |
Lengua: | Anglès |
Documento: | Article ; recerca ; Versió acceptada per publicar |
Materia: | Analytic integrability ; Asymmetric Lotka-Volterra systems ; Polynomial integrability ; Rational integrability |
Publicado en: | Journal of Nonlinear Mathematical Physics, Vol. 24 Núm. 3 (2017) , p. 393-404, ISSN 1776-0852 |
Postprint 12 p, 699.2 KB |