dc.creator | Delgado Delgado, Manuel | es |
dc.creator | Suárez Fernández, Antonio | es |
dc.date.accessioned | 2016-04-21T08:29:52Z | |
dc.date.available | 2016-04-21T08:29:52Z | |
dc.date.issued | 2000-08 | |
dc.identifier.citation | Delgado Delgado, M. y Suárez Fernández, A. (2000). On the existence of dead cores for degenerate Lotka-Volterra models. Proceedings of the Royal Society of Edinburgh, 130 (4), 743-766. | es |
dc.identifier.issn | 0308-2105 | es |
dc.identifier.issn | 1473-7124 | es |
dc.identifier.uri | http://hdl.handle.net/11441/40213 | |
dc.description.abstract | In this work we study the existence, uniqueness and qualitative properties of nonnegative solutions of the Lotka-Volterra models with nonlinear diffusion under homogeneous Dirichlet boundary conditions. We consider the three typical interactions: prey-predator, competition and symbiosis. Unlike the linear diffusion models, nontrivial nonnegative solutions can exist which are not strictly positive. Sufficient conditions in terms of the coefficients involved in the setting of the models are given assuring that one species (or both) does not survive on a set of its habitat (called “dead core”) of positive measure. | es |
dc.description.sponsorship | DGICYT | 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, 130(4), 743-766 | es |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | degenerate Lotka-Volterra models | es |
dc.subject | coexistence states | es |
dc.subject | dead core set | es |
dc.title | On the existence of dead cores for degenerate Lotka-Volterra models | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | 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 | DGICYT PB95-1242 | es |
dc.relation.projectID | DGICYT MAR98-0486 | es |
dc.relation.publisherversion | http://dx.doi.org/10.1017/S0308210500000391 | es |
dc.identifier.doi | 10.1017/S0308210500000391 | es |
idus.format.extent | 24 p. | es |
dc.journaltitle | Proceedings of the Royal Society of Edinburgh | es |
dc.publication.volumen | 130 | es |
dc.publication.issue | 4 | es |
dc.publication.initialPage | 743 | es |
dc.publication.endPage | 766 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/40213 | |
dc.contributor.funder | Dirección General de Investigación Científica y Técnica (DGICYT). España | |