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

Detalhes bibliográficos
Autor(a) principal: Buzzi, Claudio A. [UNESP]
Data de Publicação: 2020
Outros Autores: Santos, Robson A. T. [UNESP], Llibre, Jaume
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1080/14029251.2020.1700635
http://hdl.handle.net/11449/196530
Resumo: 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 Double-struck capital R-3 including its infinity. This can be done because this differential system possesses a Darboux invariant.
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spelling Final evolutions of a class of May-Leonard Lotka-Volterra systemsMay-Leonard systemLotka-Volterra systeminvariantglobal dynamicsWe 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.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)Ministerio de Economia, Industria y Competitividad, Agencia Estatal de Investigacion grantAgencia de Gestio d'Ajuts Universitaris i de Recerca grantH2020 European Research Council grantUniv Estadual Paulista, Dept Matemat, Rua Cristovao Colombo 2265, BR-15115000 Sao Jose Do Rio Preto, BrazilUniv Autonoma Barcelona, Dept Matemat, Edificio C Fac Ciencias, E-08193 Barcelona, Catalonia, SpainUniv Estadual Paulista, Dept Matemat, Rua Cristovao Colombo 2265, BR-15115000 Sao Jose Do Rio Preto, BrazilFAPESP: 2013/2454-1CAPES: 88881.068462/2014-01Ministerio de Economia, Industria y Competitividad, Agencia Estatal de Investigacion grant: MTM2016-77278-PAgencia de Gestio d'Ajuts Universitaris i de Recerca grant: 2017SGR1617H2020 European Research Council grant: MSCA-RISE-2017-777911CAPES: 99999.006888/2015-01Taylor & Francis LtdUniversidade Estadual Paulista (Unesp)Univ Autonoma BarcelonaBuzzi, Claudio A. [UNESP]Santos, Robson A. T. [UNESP]Llibre, Jaume2020-12-10T19:47:58Z2020-12-10T19:47:58Z2020-04-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article267-278http://dx.doi.org/10.1080/14029251.2020.1700635Journal Of Nonlinear Mathematical Physics. Abingdon: Taylor & Francis Ltd, v. 27, n. 2, p. 267-278, 2020.1402-9251http://hdl.handle.net/11449/19653010.1080/14029251.2020.1700635WOS:00050968440000666828677607174450000-0003-2037-8417Web of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengJournal Of Nonlinear Mathematical Physicsinfo:eu-repo/semantics/openAccess2021-12-10T14:27:46Zoai:repositorio.unesp.br:11449/196530Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462021-12-10T14:27:46Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Final evolutions of a class of May-Leonard Lotka-Volterra systems
title Final evolutions of a class of May-Leonard Lotka-Volterra systems
spellingShingle Final evolutions of a class of May-Leonard Lotka-Volterra systems
Buzzi, Claudio A. [UNESP]
May-Leonard system
Lotka-Volterra system
invariant
global dynamics
title_short Final evolutions of a class of May-Leonard Lotka-Volterra systems
title_full Final evolutions of a class of May-Leonard Lotka-Volterra systems
title_fullStr Final evolutions of a class of May-Leonard Lotka-Volterra systems
title_full_unstemmed Final evolutions of a class of May-Leonard Lotka-Volterra systems
title_sort Final evolutions of a class of May-Leonard Lotka-Volterra systems
author Buzzi, Claudio A. [UNESP]
author_facet Buzzi, Claudio A. [UNESP]
Santos, Robson A. T. [UNESP]
Llibre, Jaume
author_role author
author2 Santos, Robson A. T. [UNESP]
Llibre, Jaume
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual Paulista (Unesp)
Univ Autonoma Barcelona
dc.contributor.author.fl_str_mv Buzzi, Claudio A. [UNESP]
Santos, Robson A. T. [UNESP]
Llibre, Jaume
dc.subject.por.fl_str_mv May-Leonard system
Lotka-Volterra system
invariant
global dynamics
topic May-Leonard system
Lotka-Volterra system
invariant
global dynamics
description 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 Double-struck capital R-3 including its infinity. This can be done because this differential system possesses a Darboux invariant.
publishDate 2020
dc.date.none.fl_str_mv 2020-12-10T19:47:58Z
2020-12-10T19:47:58Z
2020-04-02
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://dx.doi.org/10.1080/14029251.2020.1700635
Journal Of Nonlinear Mathematical Physics. Abingdon: Taylor & Francis Ltd, v. 27, n. 2, p. 267-278, 2020.
1402-9251
http://hdl.handle.net/11449/196530
10.1080/14029251.2020.1700635
WOS:000509684400006
6682867760717445
0000-0003-2037-8417
url http://dx.doi.org/10.1080/14029251.2020.1700635
http://hdl.handle.net/11449/196530
identifier_str_mv Journal Of Nonlinear Mathematical Physics. Abingdon: Taylor & Francis Ltd, v. 27, n. 2, p. 267-278, 2020.
1402-9251
10.1080/14029251.2020.1700635
WOS:000509684400006
6682867760717445
0000-0003-2037-8417
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Journal Of Nonlinear Mathematical Physics
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 267-278
dc.publisher.none.fl_str_mv Taylor & Francis Ltd
publisher.none.fl_str_mv Taylor & Francis Ltd
dc.source.none.fl_str_mv Web of Science
reponame:Repositório Institucional da UNESP
instname:Universidade Estadual Paulista (UNESP)
instacron:UNESP
instname_str Universidade Estadual Paulista (UNESP)
instacron_str UNESP
institution UNESP
reponame_str Repositório Institucional da UNESP
collection Repositório Institucional da UNESP
repository.name.fl_str_mv Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)
repository.mail.fl_str_mv
_version_ 1803047468406931456

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