Lotka-Volterra models with fractional diffusion

Oliveira Alves, Michele de; Oliveira Pimenta, Marcos Tadeu de; Suárez Fernández, Antonio

doi:10.1017/S0308210516000305

Artículo

dc.creator	Oliveira Alves, Michele de	es
dc.creator	Oliveira Pimenta, Marcos Tadeu de	es
dc.creator	Suárez Fernández, Antonio	es
dc.date.accessioned	2017-06-20T10:44:00Z
dc.date.available	2017-06-20T10:44:00Z
dc.date.issued	2017-06
dc.identifier.citation	Oliveira Alves, M.d., Oliveira Pimenta, M.T.d. y Suárez Fernández, A. (2017). Lotka-Volterra models with fractional diffusion. Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 147 (3), 505-528.
dc.identifier.issn	0308-2105	es
dc.identifier.issn	1473-7124	es
dc.identifier.uri	http://hdl.handle.net/11441/61377
dc.description.abstract	In this paper we study the Lotka-Volterra models with fractional Laplacian. For that, we study in detail the logistic problem and show that the sub-supersolution method works for the scalar problem and in case of systems as well. We apply this method to show existence and non-existence of positive solutions in terms of the system parameters.	es
dc.description.sponsorship	Ministerio de Economía y Competitividad	es
dc.description.sponsorship	Fondo Europeo de Desarrollo Regional	es
dc.description.sponsorship	Fundação de Amparo à Pesquisa do Estado de São Paulo	es
dc.description.sponsorship	Conselho Nacional de Desenvolvimento Científico e Tecnológico	es
dc.format	application/pdf	es
dc.language.iso	eng	es
dc.publisher	Cambridge University Press	es
dc.relation.ispartof	Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 147 (3), 505-528.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Fractional Laplacian	es
dc.subject	Lotka-Volterra models	es
dc.subject	Sub-supersolution method	es
dc.title	Lotka-Volterra models with fractional diffusion	es
dc.type	info:eu-repo/semantics/article	es
dcterms.identifier	https://ror.org/03yxnpp24
dc.type.version	info:eu-repo/semantics/submittedVersion	es
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es
dc.contributor.affiliation	Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico	es
dc.relation.projectID	info:eu-repo/grantAgreement/MINECO/MTM2012-31304	es
dc.relation.projectID	FAPESP 2014/16136-1	es
dc.relation.projectID	CNPq 442520/2014-0	es
dc.relation.publisherversion	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/345A59E6F6F59BA8438254D8AC77E357/S0308210516000305a.pdf/lotkavolterra_models_with_fractional_diffusion.pdf	es
dc.identifier.doi	10.1017/S0308210516000305	es
idus.format.extent	30 p.	es
dc.journaltitle	Proceedings of the Royal Society of Edinburgh. Section A: Mathematics	es
dc.publication.volumen	147	es
dc.publication.issue	3	es
dc.publication.initialPage	505	es
dc.publication.endPage	528	es

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