Compartmental systems with pipes |
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Authors: | Györi I Eller J |
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Affiliation: | Computing Center of the Szeged University of Medical Sciences, 4?a Pécsi utca, 6720 Szeged, Hungary. |
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Abstract: | This paper presents a generalization of the classical compartmental models using the concept of "pipes" between the compartments and taking into account the time needed for the material to pass through these pipes. A general linear delay differential system describing such models is derived and some properties of its solutions-such as nonnegativity, boundedness, stability-are established. For stationary and asymptotically stationary systems the asymptotic solution is obtained, too. The theory presented generalizes several earlier results concerning more special equations. |
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