An interactive Glucose- Insulin regulation under the influence of Externally Ingested Glucose     IG G I E model

Abstract

Here, we present a mathematical model for glucose (G)- insulin(I) regulatory system, where, the degradation of glucose from the body is assumed to be dependent on both insulin and glucose content in the body. It is also assumed that the body receives externally ingested glucose (E). The ingested glucose is the external source of glucose i.e. received by the body from the source of food intake and assumed to follow logistic growth. The three variable models thus defined analytically as well as numerically. The conditions for stability of the model is also established and validated numerically.