On Washout in Nonlinear Compartmental Systems

dc.contributor.author	Eisenfeld, Jerome	en
dc.date.accessioned	2010-06-09T14:44:07Z	en
dc.date.available	2010-06-09T14:44:07Z	en
dc.date.issued	1981-04	en
dc.identifier.uri	http://hdl.handle.net/10106/2414	en
dc.description.abstract	Please note that the full text is embargoed ABSTRACT: Let x(t) be a solution of a compartmental system. If, for some compartment j, x (t) -> 0 as t -> °°, then we say that compartment j washes out. We show that a compartment washes out if it always reaches (along a fixed path) either the environment or another compartment for which there is no return path. Additional criteria, particularly regarding exponential convergence, are also presented. Examples are drawn from tracer kinetics, enzyme reactions, and epidemic models.	en
dc.language.iso	en_US	en
dc.publisher	University of Texas at Arlington	en
dc.relation.ispartofseries	Technical Report;156	en
dc.subject	Compartmental systems	en
dc.subject	Washout	en
dc.subject	Open systems	en
dc.subject	Closed systems	en
dc.subject	Tracer kinetics	en
dc.subject	Enzyme reactions	en
dc.subject	Epidemic models	en
dc.subject	Nonlinear problems	en
dc.subject.lcsh	Mathematics Research	en
dc.title	On Washout in Nonlinear Compartmental Systems	en
dc.type	Technical Report	en
dc.publisher.department	Department of Mathematics	en