dc.contributor.author
Llibre, Jaume
dc.contributor.author
Valls, Clàudia
dc.identifier
https://ddd.uab.cat/record/150436
dc.identifier
urn:10.1007/s00033-011-0119-2
dc.identifier
urn:oai:ddd.uab.cat:150436
dc.identifier
urn:gsduab:2829
dc.identifier
urn:scopus_id:80053094976
dc.identifier
urn:wos_id:000295170500001
dc.identifier
urn:oai:egreta.uab.cat:publications/cf6bd96c-ba19-4c43-9a0c-38f4ae9dde7c
dc.identifier
urn:articleid:14209039v62p761
dc.description.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.
dc.format
application/pdf
dc.relation
Ministerio de Economía y Competitividad MTM2008-03437
dc.relation
Agència de Gestió d'Ajuts Universitaris i de Recerca 2009/SGR-410
dc.relation
ZAMP. Journal of Applied Mathematics and Physics ; Vol. 62 (2011), p. 761-777
dc.rights
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dc.rights
https://rightsstatements.org/vocab/InC/1.0/
dc.subject
Polynomial integrability
dc.subject
Rational integrability
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Analytic integrability
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Lotka-Volterra systems
dc.title
Polynomial, rational and analytic first integrals for a family of 3-dimensional Lotka-Volterra systems
