Compartmental systems with pipes.
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.
Computing Center of the Szeged University of Medical Sciences, 4⧸a Pécsi utca, 6720 Szeged, Hungary.
I
I
Györi
J
J
Eller