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(2) :-Ranjan Kalita, Anuradha Devi

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.

Authors and Affiliations

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

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

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Publication Details

Published in : Volume 4 | Issue 9 | July-August 2018
Date of Publication : 2018-08-30
License:  This work is licensed under a Creative Commons Attribution 4.0 International License.
Page(s) : 507-511
Manuscript Number : IJSRSET1849116
Publisher : Technoscience Academy

Print ISSN : 2395-1990, Online ISSN : 2394-4099

Cite This Article :

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.
Journal URL : http://ijsrset.com/IJSRSET1849116

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