Mathematical Model Applied to Monitoring the Glucose-Insulin Interaction inside the Body of Diabetes Patients

Authors

  • Sonia Akter Department of Mathematics, BSMRSTU, Gopalganj-8100, Bangladesh
  • Md Sirajul Islam Department of Mathematics, BSMRSTU, Gopalganj-8100, Bangladesh
  • Md Haider Ali Biswas Mathematics Discipline, Khulna University, Khulna-9208, Bangladesh
  • Sajib Mandal Department of Mathematics, BSMRSTU, Gopalganj-8100, Bangladesh

DOI:

https://doi.org/10.3329/ganit.v40i1.48191

Keywords:

Diabetes Mellitus; glucose-insulin regulatory system; mathematical model; Lyapunov’s method; stability and numerical approximation.

Abstract

The incidence and prevalence of diabetes are increasing all over the world and complication of diabetes constitutes a burden for the individuals and whole society. In this paper, we propose a mathematical model for monitoring glucose-insulin regulatory system in the human body. The non-linear cases are considered, and the model is analysed by using Lyapunov’s method. The mathematical model, discussed the critical situation of the diabetes patients as well as for normal person are analysed for stability. The numerical approximation is used to verify the analytical results and the obtained solutions represent the complex situation of diabetes patients.

GANIT J. Bangladesh Math. Soc.Vol. 40 (2020) 1-12

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Published

2020-07-14

How to Cite

Akter, S., Islam, M. S., Biswas, M. H. A., & Mandal, S. (2020). Mathematical Model Applied to Monitoring the Glucose-Insulin Interaction inside the Body of Diabetes Patients. GANIT: Journal of Bangladesh Mathematical Society, 40(1), 1–12. https://doi.org/10.3329/ganit.v40i1.48191

Issue

Vol. 40 No. 1 (2020)

Section

Articles

License

The copyright of GANIT: Journal of Bangladesh Mathematical Society is reserved by Bangladesh Mathematical Society (web: https://bdmathsociety.org/)