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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.
Note: Número d'acord de subvenció MINECO/MTM2016-77278-P
Note: Número d'acord de subvenció MINECO/MTM2013-40998-P
Note: Número d'acord de subvenció AGAUR/2014/SGR-568
Note: Número d'acord de subvenció EC/FP7/318999
Rights: Tots els drets reservats.
Language: Anglès
Document: article ; recerca ; acceptedVersion
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

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (scientific output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles

 Record created 2020-04-15, last modified 2020-08-01



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