Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)
Valls, Clàudia 1973- (Universidade de Lisboa. Departamento de Matematica)

Date:	2011
Abstract:	We extend the study of the integrability done by Leach and Miritzis (J Nonlinear Math Phys 13:535-548, 2006) on the classical model of competition between three species studied by May and Leonard (SIAM J Appl Math 29:243-256, 1975), to all real values of the parameters. Additionally, our results provide all polynomial, rational and analytic first integrals of this extended model. We also classify all the invariant algebraic surfaces of these models.
Grants:	Ministerio de Economía y Competitividad MTM2008-03437 Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Polynomial integrability ; Rational integrability ; Analytic integrability ; Lotka-Volterra systems
Published in:	ZAMP. Journal of Applied Mathematics and Physics, Vol. 62 (2011) , p. 761-777, ISSN 1420-9039

DOI: 10.1007/s00033-011-0119-2

Postprint 20 p, 678.9 KB

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