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

Sonia Akter | Zendy; Md. Sirajul Islam | Zendy; Md. Haider Ali Biswas | Zendy; Sajib Mandal | Zendy

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

Author(s) -

Sonia Akter,

Md. Sirajul Islam,

Md. Haider Ali Biswas,

Sajib Mandal

Publication year - 2020

Publication title -

ganit journal of bangladesh mathematical society

Language(s) - English

Resource type - Journals

eISSN - 2224-5111

pISSN - 1606-3694

DOI - 10.3329/ganit.v40i1.48191

Subject(s) - diabetes mellitus , insulin , medicine , incidence (geometry) , stability (learning theory) , lyapunov function , endocrinology , mathematics , computer science , physics , machine learning , nonlinear system , geometry , quantum mechanics

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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