Constructing exponential estimates in compartmental systems with distributed delays: an approach based on the Hale-Lunel inequality. (English. Russian original) Zbl 1332.92029
Cybern. Syst. Anal. 49, No. 3, 347-352 (2013); translation from Kibern. Sist. Anal. 2013, No. 3, 26-31 (2013).
Summary: This paper presents a method for constructing exponential estimates in a compartmental system with distributed delays on the basis of the Hale-Lunel inequality and its application. The practical importance of this study is illustrated by a pharmacokinetic model from anesthesiology.
MSC:
| 92C50 | Medical applications (general) |
| 92C45 | Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) |
| 34K20 | Stability theory of functional-differential equations |
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