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dc.creatorCaraballo Garrido, Tomás
dc.creatorXiaoying, Han
dc.creatorKloeden, Peter E.
dc.date.accessioned2015-09-30T06:49:28Z
dc.date.available2015-09-30T06:49:28Z
dc.date.issued2015
dc.identifier.issn2325-0399es
dc.identifier.issn1935-0090es
dc.identifier.urihttp://hdl.handle.net/11441/29020
dc.description.abstractTraditional assumptions in the simple chemostat model include fixed availability of the nutrient and its supply rate, and fast flow rate to avoid wall growth. However, these assumptions become unrealistic when the availability of a nutrient depends on the nutrient consumption rate and input nutrient concentration and when the flow rate is not fast enough. In this paper, we relax these assumptions and study the chemostat models with a variable nutrient supplying rate or a variable input nutrient concentration, with or without wall growth. This leads the models to nonautonomous dynamical systems and requires new concepts of nonautonomous attractors from the recently developed theory of nonautonomous dynamical systems. Our results provide sufficient conditions for existence of nonautonomous attractors and singleton attractors.es
dc.formatapplication/pdfes
dc.language.isoenges
dc.publisherNatural Sciences Publishing Corporationes
dc.relation.ispartofApplied Mathematics & Information Sciences, 9(5), 2283-2296es
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 Internacional*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectchemostates
dc.subjectwall growthes
dc.subjectnonautonomous attractores
dc.titleChemostats with time-dependent inputs and wall growthes
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://www.naturalspublishing.com/download.asp?ArtcID=9535
dc.identifier.doihttp://dx.doi.org/10.12785/amises
dc.identifier.idushttps://idus.us.es/xmlui/handle/11441/29020

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Attribution-NonCommercial-NoDerivatives 4.0 Internacional
Except where otherwise noted, this item's license is described as: Attribution-NonCommercial-NoDerivatives 4.0 Internacional