STABILITY ANALYSIS OF A DISCRETE-DELAY MODEL OF THE GLUCOSE-INSULIN SYSTEM

A discrete delay-differential model of the glucose-insulin system is presented, representing the Intra-Venous Glucose Tolerance Test and allied experimental procedures of diabetological interest. The model ensures unique positive bounded solutions for any positive initial condition, and provides a unique equilibrium point.Conditions are given on the physical parameters in order to ensure the local asymptotic stability of the equilibrium point. These conditions are always satisfied, given the actual parameter estimates obtained experimentally. A study of the global stability properties is also performed.