Modeling the intra-venous glucose tolerance test: A global study for a single-distributed-delay model
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.
scientific article; zbMATH DE number 2071058