Final evolutions of a class of May-Leonard Lotka-Volterra systems
Autor(a) principal: | |
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Data de Publicação: | 2020 |
Outros Autores: | , |
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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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:29462024-08-06T00:03:54.633045Repositório 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_ |
1808129579219419136 |