Final evolutions of a class of May-Leonard Lotka-Volterra systems
Buzzi, Claudio (Universidade Estadual Paulista. Departamento de Matemática (Brazil))
Santos, Robson A. T. (Universidade Estadual Paulista. Departamento de Matemática (Brazil))
Llibre, Jaume (Universitat Autònoma de Barcelona. Departament de Matemàtiques)

Additional title:	Global dynamics of a class of May-Leonard Lotka-Volterra systems
Date:	2020
Abstract:	We study a particular class of Lotka-Volterra 3-dimensional systems called May-Leonard systems, which depend on two real parameters a and b, when a + b = −1. For these values of the parameters we shall describe its global dynamics in the compactification of the non-negative octant of ℝ3 including its infinity. This can be done because this differential system possesses a Darboux invariant.
Grants:	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 European Commission 318999
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	May-Leonard system ; Lotka-Volterra system ; Invariant ; Global dynamics
Published in:	Journal of Nonlinear Mathematical Physics, Vol. 27, Issue 2 (January 2020) , p. 267-278, ISSN 1776-0852

DOI: 10.1080/14029251.2020.1700635

Postprint 11 p, 382.4 KB

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Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
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