dc.creator | Cintra da Silva, Willian | es |
dc.creator | Morales Rodrigo, Cristian | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2017-03-22T12:45:05Z | |
dc.date.available | 2017-03-22T12:45:05Z | |
dc.date.issued | 2017-06-05 | |
dc.identifier.citation | Cintra da Silva, W., Morales Rodrigo, C. y Suárez Fernández, A. (2017). Refuge versus dispersion in the logistic equation. Journal of Differential Equations, 262 (11), 5606-5634. | |
dc.identifier.issn | 0022-0396 | es |
dc.identifier.uri | http://hdl.handle.net/11441/56117 | |
dc.description.abstract | In this paper we consider a logistic equation with nonlinear diffusion arising in population dynamics. In this model, there exists a refuge where the species grows following a Malthusian law and, in addition, there exists also a non-linear diffusion representing a repulsive dispersion of the species. We prove existence and uniqueness of positive solution and study the behavior of this solution with respect to the parameter λ, the growth rate of the species. Mainly, we use bifurcation techniques, the sub-supersolution method and a construction of appropriate large solutions. | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.description.sponsorship | Conselho Nacional de Desenvolvimento Científico e Tecnológico | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Differential Equations, 262 (11), 5606-5634. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Non-linear diffusion | es |
dc.subject | Bifurcation | es |
dc.subject | Sub-supersolution method | es |
dc.subject | Large solutions | es |
dc.subject | Population dynamics | es |
dc.title | Refuge versus dispersion in the logistic equation | 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/MTM2015-69875-P | es |
dc.relation.projectID | 400426/2013-7 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0022039617300657/1-s2.0-S0022039617300657-main.pdf?_tid=eddc0474-0efc-11e7-b2d6-00000aab0f02&acdnat=1490186694_f8f6153ebb42f00c94ddc0433b430133 | es |
dc.identifier.doi | 10.1016/j.jde.2017.02.012 | es |
dc.contributor.group | Universidad de Sevilla. FQM131: Ec.diferenciales,Simulación Num.y Desarrollo Software | es |
idus.format.extent | 28 p. | es |
dc.journaltitle | Journal of Differential Equations | es |
dc.publication.volumen | 262 | es |
dc.publication.issue | 11 | es |
dc.publication.initialPage | 5606 | es |
dc.publication.endPage | 5634 | es |