Lotka-Volterra models with fractional diffusion

Detalhes bibliográficos
Autor(a) principal: Alves, Michele O.
Data de Publicação: 2017
Outros Autores: Pimenta, Marcos T. O. [UNESP], Suarez, Antonio
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNESP
Texto Completo: http://dx.doi.org/10.1017/S0308210516000305
http://hdl.handle.net/11449/162848
Resumo: We study Lotka-Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub-supersolution method works for both the scalar problem and for systems. We apply this method to show the existence and non-existence of positive solutions in terms of the system parameters.
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spelling Lotka-Volterra models with fractional diffusionfractional LaplacianLotka-Volterra modelssub-supersolution methodWe study Lotka-Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub-supersolution method works for both the scalar problem and for systems. We apply this method to show the existence and non-existence of positive solutions in terms of the system parameters.Ministerio de Economia y CompetitividadFEDERFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)Univ Estadual Londrina, Dept Matemat, BR-86057970 Londrina, PR, BrazilUniv Estadual Paulista, Dept Matemat & Computacao, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, BrazilUniv Seville, Dept Ecuac Diferenciales & Anal Numer, Fac Matemat, Calle Tarfia S-N, E-41012 Seville, SpainUniv Estadual Paulista, Dept Matemat & Computacao, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, BrazilFEDER: MTM2012-31304FAPESP: 2014/16136-1CNPq: 442520/2014-0Cambridge Univ PressUniversidade Estadual de Londrina (UEL)Universidade Estadual Paulista (Unesp)Univ SevilleAlves, Michele O.Pimenta, Marcos T. O. [UNESP]Suarez, Antonio2018-11-26T17:34:39Z2018-11-26T17:34:39Z2017-06-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/article505-528application/pdfhttp://dx.doi.org/10.1017/S0308210516000305Proceedings Of The Royal Society Of Edinburgh Section A-mathematics. Cambridge: Cambridge Univ Press, v. 147, n. 3, p. 505-528, 2017.0308-2105http://hdl.handle.net/11449/16284810.1017/S0308210516000305WOS:000402524500002WOS000402524500002.pdfWeb of Sciencereponame:Repositório Institucional da UNESPinstname:Universidade Estadual Paulista (UNESP)instacron:UNESPengProceedings Of The Royal Society Of Edinburgh Section A-mathematics1,506info:eu-repo/semantics/openAccess2023-12-01T06:17:18Zoai:repositorio.unesp.br:11449/162848Repositório InstitucionalPUBhttp://repositorio.unesp.br/oai/requestopendoar:29462023-12-01T06:17:18Repositório Institucional da UNESP - Universidade Estadual Paulista (UNESP)false
dc.title.none.fl_str_mv Lotka-Volterra models with fractional diffusion
title Lotka-Volterra models with fractional diffusion
spellingShingle Lotka-Volterra models with fractional diffusion
Alves, Michele O.
fractional Laplacian
Lotka-Volterra models
sub-supersolution method
title_short Lotka-Volterra models with fractional diffusion
title_full Lotka-Volterra models with fractional diffusion
title_fullStr Lotka-Volterra models with fractional diffusion
title_full_unstemmed Lotka-Volterra models with fractional diffusion
title_sort Lotka-Volterra models with fractional diffusion
author Alves, Michele O.
author_facet Alves, Michele O.
Pimenta, Marcos T. O. [UNESP]
Suarez, Antonio
author_role author
author2 Pimenta, Marcos T. O. [UNESP]
Suarez, Antonio
author2_role author
author
dc.contributor.none.fl_str_mv Universidade Estadual de Londrina (UEL)
Universidade Estadual Paulista (Unesp)
Univ Seville
dc.contributor.author.fl_str_mv Alves, Michele O.
Pimenta, Marcos T. O. [UNESP]
Suarez, Antonio
dc.subject.por.fl_str_mv fractional Laplacian
Lotka-Volterra models
sub-supersolution method
topic fractional Laplacian
Lotka-Volterra models
sub-supersolution method
description We study Lotka-Volterra models with fractional Laplacian. To do this we study in detail the logistic problem and show that the sub-supersolution method works for both the scalar problem and for systems. We apply this method to show the existence and non-existence of positive solutions in terms of the system parameters.
publishDate 2017
dc.date.none.fl_str_mv 2017-06-01
2018-11-26T17:34:39Z
2018-11-26T17:34:39Z
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/10.1017/S0308210516000305
Proceedings Of The Royal Society Of Edinburgh Section A-mathematics. Cambridge: Cambridge Univ Press, v. 147, n. 3, p. 505-528, 2017.
0308-2105
http://hdl.handle.net/11449/162848
10.1017/S0308210516000305
WOS:000402524500002
WOS000402524500002.pdf
url http://dx.doi.org/10.1017/S0308210516000305
http://hdl.handle.net/11449/162848
identifier_str_mv Proceedings Of The Royal Society Of Edinburgh Section A-mathematics. Cambridge: Cambridge Univ Press, v. 147, n. 3, p. 505-528, 2017.
0308-2105
10.1017/S0308210516000305
WOS:000402524500002
WOS000402524500002.pdf
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv Proceedings Of The Royal Society Of Edinburgh Section A-mathematics
1,506
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 505-528
application/pdf
dc.publisher.none.fl_str_mv Cambridge Univ Press
publisher.none.fl_str_mv Cambridge Univ Press
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_ 1799965135656189952

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