A Mathematical Model for Glucose-Insulin Interaction under the Influence of Externally Ingested Glucose in Presence of Constant Amount of Glucose and Insulin in the Body

Authors

  • Ranjan Kalita  Department of Mathematics, Assam down town University, Guwahati, Assam, India
  • Anuradha Devi  Department of Mathematics, Assam Royal Global University, Guwahati, Assam, India

Keywords:

Modelling, Mathematical Modelling, Diabetes Mellitus, Glucose-Insulin Regulatory System, Stability, Lyapunov Function

Abstract

Here, we prepare a mathematical model for glucose- insulin regulation having been influenced by externally ingested glucose. It is also assumed that constant amount of glucose and insulin are always present in the body. This model is a modification of the G-I-E model [14] considering the constant amount of insulin in the body. The stability of the model is analysed by construction of Lyapunov function and conditions for stability have been derived. The model is also analysed numerically to observe the behaviour of the glucose-insulin regulation.

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International Journal of Scientific Research in Science, Engineering and Technology

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Published

2018-08-30

Issue

Volume 4, Issue 9, July-August-2018

Section

Research Articles

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How to Cite

[1]
Ranjan Kalita, Anuradha Devi "A Mathematical Model for Glucose-Insulin Interaction under the Influence of Externally Ingested Glucose in Presence of Constant Amount of Glucose and Insulin in the Body" International Journal of Scientific Research in Science, Engineering and Technology (IJSRSET), Print ISSN : 2395-1990, Online ISSN : 2394-4099, Volume 4, Issue 9, pp.507-511, July-August-2018.