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Lotka-Volterra models with fractional diffusion

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dc.contributor.authorAlves, Michele O.
dc.contributor.authorPimenta, Marcos T. O. [UNESP]
dc.contributor.authorSuarez, Antonio
dc.contributor.institutionUniversidade Estadual de Londrina (UEL)
dc.contributor.institutionUniversidade Estadual Paulista (Unesp)
dc.contributor.institutionUniv Seville
dc.date.accessioned2018-11-26T17:34:39Z
dc.date.available2018-11-26T17:34:39Z
dc.date.issued2017-06-01
dc.description.abstractWe 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.en
dc.description.affiliationUniv Estadual Londrina, Dept Matemat, BR-86057970 Londrina, PR, Brazil
dc.description.affiliationUniv Estadual Paulista, Dept Matemat & Computacao, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.affiliationUniv Seville, Dept Ecuac Diferenciales & Anal Numer, Fac Matemat, Calle Tarfia S-N, E-41012 Seville, Spain
dc.description.affiliationUnespUniv Estadual Paulista, Dept Matemat & Computacao, Fac Ciencias & Tecnol, BR-19060900 Presidente Prudente, SP, Brazil
dc.description.sponsorshipMinisterio de Economia y Competitividad
dc.description.sponsorshipFEDER
dc.description.sponsorshipFundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)
dc.description.sponsorshipConselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
dc.description.sponsorshipIdFEDER: MTM2012-31304
dc.description.sponsorshipIdFAPESP: 2014/16136-1
dc.description.sponsorshipIdCNPq: 442520/2014-0
dc.format.extent505-528
dc.identifierhttp://dx.doi.org/10.1017/S0308210516000305
dc.identifier.citationProceedings Of The Royal Society Of Edinburgh Section A-mathematics. Cambridge: Cambridge Univ Press, v. 147, n. 3, p. 505-528, 2017.
dc.identifier.doi10.1017/S0308210516000305
dc.identifier.fileWOS000402524500002.pdf
dc.identifier.issn0308-2105
dc.identifier.urihttp://hdl.handle.net/11449/162848
dc.identifier.wosWOS:000402524500002
dc.language.isoeng
dc.publisherCambridge Univ Press
dc.relation.ispartofProceedings Of The Royal Society Of Edinburgh Section A-mathematics
dc.relation.ispartofsjr1,506
dc.rights.accessRightsAcesso aberto
dc.sourceWeb of Science
dc.subjectfractional Laplacian
dc.subjectLotka-Volterra models
dc.subjectsub-supersolution method
dc.titleLotka-Volterra models with fractional diffusionen
dc.typeArtigo
dcterms.licensehttp://journals.cambridge.org/action/displaySpecialPage?pageId=4676
dcterms.rightsHolderCambridge Univ Press
dspace.entity.typePublication
unesp.author.orcid0000-0002-6407-7758[3]
unesp.departmentMatemática e Computação - FCTpt

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Presidente Prudente - FCT - Faculdade de Ciências e Tecnologia