Stability of a Glucose-Insulin and Externally (G-I-E) Regulatory System Model

Wachira Suriyapongsakul and Kanchana Kumnungkit (King Mongkut Institute of Technology, Thailand)

A mathematical model for glucose-insulin regulatory system is presented. The glucose-insulin regulatory system has been introduced with a new variable which is ingested glucose. The ingested glucose is the external source of glucose that is coming from source of food and assumed to follow the logistic growth model. In addition, we analyze glucose constant value consumed from medicine. With the introduction of ingested glucose a three variable model is established. The stability of the model is analyzed by construction of Lyapunov function and conditions for stability have been derived. Numerical simulations are used to validate and describe the stability of the proposed model.

Journal: International Journal of Simulation- Systems, Science and Technology- IJSSST V21

Published: Mar 9, 2021

DOI: 10.5013/IJSSST.a.21.04.16