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Final evolutions of a class of May-Leonard Lotka-Volterra systems

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dc.contributor.authorBuzzi, Claudio A. [UNESP]
dc.contributor.authorSantos, Robson A. T. [UNESP]
dc.contributor.authorLlibre, Jaume
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Autonoma Barcelona
dc.date.accessioned2020-12-10T19:47:58Z
dc.date.available2020-12-10T19:47:58Z
dc.date.issued2020-04-02
dc.description.abstractWe 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 Double-struck capital R-3 including its infinity. This can be done because this differential system possesses a Darboux invariant.en
dc.description.affiliationUniv Estadual Paulista, Dept Matemat, Rua Cristovao Colombo 2265, BR-15115000 Sao Jose Do Rio Preto, Brazil
dc.description.affiliationUniv Autonoma Barcelona, Dept Matemat, Edificio C Fac Ciencias, E-08193 Barcelona, Catalonia, Spain
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat, Rua Cristovao Colombo 2265, BR-15115000 Sao Jose Do Rio Preto, Brazil
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipCoordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
dc.description.sponsorshipMinisterio de Economia, Industria y Competitividad, Agencia Estatal de Investigacion grant
dc.description.sponsorshipAgencia de Gestio d'Ajuts Universitaris i de Recerca grant
dc.description.sponsorshipH2020 European Research Council grant
dc.description.sponsorshipIdFAPESP: 2013/2454-1
dc.description.sponsorshipIdCAPES: 88881.068462/2014-01
dc.description.sponsorshipIdMinisterio de Economia, Industria y Competitividad, Agencia Estatal de Investigacion grant: MTM2016-77278-P
dc.description.sponsorshipIdAgencia de Gestio d'Ajuts Universitaris i de Recerca grant: 2017SGR1617
dc.description.sponsorshipIdH2020 European Research Council grant: MSCA-RISE-2017-777911
dc.description.sponsorshipIdCAPES: 99999.006888/2015-01
dc.format.extent267-278
dc.identifierhttp://dx.doi.org/10.1080/14029251.2020.1700635
dc.identifier.citationJournal Of Nonlinear Mathematical Physics. Abingdon: Taylor & Francis Ltd, v. 27, n. 2, p. 267-278, 2020.
dc.identifier.doi10.1080/14029251.2020.1700635
dc.identifier.issn1402-9251
dc.identifier.lattes6682867760717445
dc.identifier.orcid0000-0003-2037-8417
dc.identifier.urihttp://hdl.handle.net/11449/196530
dc.identifier.wosWOS:000509684400006
dc.language.isoeng
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofJournal Of Nonlinear Mathematical Physics
dc.sourceWeb of Science
dc.subjectMay-Leonard system
dc.subjectLotka-Volterra system
dc.subjectinvariant
dc.subjectglobal dynamics
dc.titleFinal evolutions of a class of May-Leonard Lotka-Volterra systemsen
dc.typeArtigo
dcterms.licensehttp://journalauthors.tandf.co.uk/permissions/reusingOwnWork.asp
dcterms.rightsHolderTaylor & Francis Ltd
dspace.entity.typePublication
unesp.author.lattes6682867760717445[1]
unesp.author.orcid0000-0003-2037-8417[1]
unesp.campusUniversidade Estadual Paulista (UNESP), Instituto de Biociências, Letras e Ciências Exatas, São José do Rio Pretopt
unesp.departmentMatemática - IBILCEpt

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São José do Rio Preto - IBILCE - Instituto de Biociências, Letras e Ciências Exatas