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Dynamics of nonautonomous chemostat models


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dc.creator Caraballo Garrido, Tomás
dc.creator Xiaoying, Han
dc.creator Kloeden, Peter E.
dc.creator Rapaport, Alain 2016-01-18T09:46:24Z 2016-01-18T09:46:24Z 2015
dc.identifier.issn 9783319190754 es
dc.description.abstract Chemostat models have a long history in the biological sciences as well as in biomathematics. Hitherto most investigations have focused on autonomous systems, that is, with constant parameters, inputs and outputs. In many realistic situations these quantities can vary in time, either deterministically (e.g., periodically) or randomly. They are then non-autonomous dynamical systems for which the usual concepts of autonomous systems do not apply or are too restrictive. The newly developing theory of non-autonomous dynamical systems provides the necessary concepts, in particular that of a non-autonomous pullback attractor. These will be used here to analyze the dynamical behavior of non-autonomous chemostat models with or without wall growth, time dependent delays, variable inputs and outputs. The possibility of over-yielding in non-autonomous chemostats will also be discussed. es
dc.format application/pdf es
dc.language.iso eng es
dc.relation.ispartof Continuous and distributed systems. II, 103–120 es
dc.rights Attribution-NonCommercial-NoDerivatives 4.0 Internacional *
dc.rights.uri *
dc.title Dynamics of nonautonomous chemostat models es
dc.type info:eu-repo/semantics/article es
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
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