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20 p, 678.9 KB 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)
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. [...]
2011 - 10.1007/s00033-011-0119-2
ZAMP. Journal of Applied Mathematics and Physics, Vol. 62 (2011) , p. 761-777  

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