Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model
type: Item
instance of: scholarly article
title: Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model
zbMATH Open document ID: 1070.34110
author: Amitava Mukhopadhyay
author: Andrea De Gaetano
author: Ovide Arino
published in: Discrete and Continuous Dynamical Systems. Series B
publication date: 2004-06-09T00:00:00Z
review text: The present paper extends previous results to a family of models incorporating a generic nonnegative, square integrable normalized kernel. Every model in this family describes the rate of glucose concentration variation as due to both insulin-dependent net glucose tissue upstake as well as to constant liver glucose production. The rate of variation of plasma insulin concentration depends on insulin catabolism and on pancreatic insulin secretion. Considering an appropriate Lyapunov functional, it is found that the system is globally asymptotically stable if the average time delay has a parameter-dependent upper bound.
Mathematics Subject Classification ID: 34K60
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 92C50
zbMATH DE Number: 2071058
zbMATH Keywords: Lyapunov functional
zbMATH Keywords: average time delay
zbMATH Keywords: asymptotically stable
zbMATH Keywords: upper bound
reviewed by: Messoud Efendiev
MaRDI profile type: Publication
full work available at URL: dcdsb.2004.4.407
OpenAlex ID: W1971287996
DOI: 10.3934/DCDSB.2004.4.407
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description: scientific article; zbMATH DE number 2071058