Connections between compartmental systems with pipes and integro-differential equations
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Araki, 1979, On stability criteria for the composite systems including time delays, Trans. SICE, 15, 267, 10.9746/sicetr1965.15.267
Arino, 1979, Comportement des solutions de x'(t) + f(t, x(t) = f(t − 1, x(t − 1)), C.R.A.S., 28, 937
Atkins, 1969
Bellman, 1971, Topics in pharmacokinetics II: Identification of time-lag processes, Math. Biosci., 11, 337, 10.1016/0025-5564(71)90092-7
Brown, 1980, Compartmental system analysis: State of the art, IEEE Trans. Biomed. Eng., BME-27, 1, 10.1109/TBME.1980.326685
Brown, 1979, Some observations on the physical realizability of compartmental models with delays, IEEE Trans. Biomed. Eng., BME-26, 646, 10.1109/TBME.1979.326549
Cooke, 1976, A periodicity threshold theorem for epidemics and population growth, Math. Biosci., 31, 87, 10.1016/0025-5564(76)90042-0
Coppel, 1965
Driver, 1977
Györi, 1982, Delay differential and integro-differential equations in biological compartmental models, Systems Sci. (Wroclaw), 8, 167
Haddock, 1981, Liapunov-Razumikhin functions and invariance principle for functional differential equations
Jacquez, 1972, Compartmental Analysis in Biology and Medicine
Jacquez, 1979, Compartmental models of biological systems: Linear and nonlinear, Applied Nonlinear Analysis, 185, 10.1016/B978-0-12-434180-7.50021-8
Kanyar, 1981, Parameter estimation of the radiocardiogram using compartmental models with pipes, Vol. 34, 229
Lakshmikantham, 1969, Differential and Integral Inequalities (II)
Lewis, 1980, Insensitivity of a class of nonlinear compartmental systems to the introduction of arbitrary time delays, IEEE Trans. Circ. Syst., CAS-27, 604, 10.1109/TCS.1980.1084867
Maeda, 1979, Some results on nonlinear compartmental systems, IEEE Trans. Circ. Syst., CAS-26, 203, 10.1109/TCS.1979.1084618
Maeda, 1978, Asymptotic behavior of nonlinear compartmental systems: Nonoscillation and stability, IEEE Trans. Circ. Syst., CAS-25, 372, 10.1109/TCS.1978.1084490
Mazanov, 1976, Stability of multi-pool models with lags, J. Theoret. Biol., 59, 429, 10.1016/0022-5193(76)90181-8
Nagy, 1965
Ohta, 1981, Qualitative analysis of nonlinear quasi-monotone dynamical systems described by functional-differential equations, IEEE Trans. Circ. Syst., CAS-28, 138, 10.1109/TCS.1981.1084959
Reeve, 1962, Mathematical models describing the distribution of 131I-albumin in man, J. Lab. Clin. Med., 60, 923
Rubinov, 1975
Sandberg, 1978, On the mathematical fundations of compartmental analysis in biology, medicine and ecology, IEEE Trans. Circ. Syst., CAS-25, 273, 10.1109/TCS.1978.1084473
Sheppard, 1948, The theory of study of transfers within a multi-compartment system using isotopic tracers, J. Appl. Phys., 19, 70, 10.1063/1.1697874
Tokumaru, 1975, Macroscopic stability of interconnected systems, IFAC sixth conf.
Wagner, 1979