A Mathematical Model of Glucose - Insulin regulation where glucose and insulin both are influenced by externally ingested glucose

Abstract

Here we discussed a mathematical model on diabetes mellitus under the influence of ingested glucose where glucose and insulin both are affected by the externally ingested glucose. The new variable E is introduced as the externally ingested glucose which is considered to be taken from external source of food. With the introduction of ingested glucose and its impact on the glucose as well as on insulin, a three variable mathematical model is established. The stability of the model is analyzed under various equilibrium conditions. Numerical simulations are presented to validate and to describe the nature of stability of the model.