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dc.creatorCaraballo Garrido, Tomás
dc.creatorXiaoying, Han
dc.creatorKloeden, Peter E.
dc.date.accessioned2015-09-29T09:55:44Z
dc.date.available2015-09-29T09:55:44Z
dc.date.issued2015
dc.identifier.issn0036-1410es
dc.identifier.issn1095-7154es
dc.identifier.urihttp://hdl.handle.net/11441/28986
dc.description.abstractThe appearance of delay terms in a chemostat model can be fully justified since the future behavior of a dynamical system does not in general depend only on the present but also on its history. Sometimes only a short piece of history provides the relevant influence (bounded or finite delay), while in other cases it is the whole history that has to be taken into account (unbounded or infinite delay). In this paper a chemostat model with time variable delays and wall growth, hence a nonautonomous problem, is investigated. The analysis provides sufficient conditions for the asymptotic stability of nontrivial equilibria of the chemostat with variable delays, as well as for the existence of nonautonomous pullback attractors.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherSociety for Industrial and Applied Mathematicses
dc.relation.ispartofSIAM Journal on Mathematical Analysis, 47(3), 2178-2199es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectchemostates
dc.subjectvariable delayes
dc.subjectLyapunov functiones
dc.subjectnonautonomous attractores
dc.subjectRazumikhin methodes
dc.titleNonautonomous chemostats with variable delayses
dc.typeinfo:eu-repo/semantics/articlees
dc.rights.accessRightsinfo:eu-repo/semantics/openAccesses
dc.contributor.affiliationUniversidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numéricoes
dc.relation.publisherversionhttp://dx.doi.org/10.1137/14099930Xes
dc.identifier.doihttp://dx.doi.org/10.1137/14099930Xes
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/28986

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