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Hybrid ·Peer-reviewed·ISSN (Online): 2169-0014·ISSN (Print): 0972-0510

Monthly Journal: Publishes peer-reviewed aticles on theoretical and applied statistics and management systems, expoloring industrial statistics, actuarial and decision sciences.

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Open Access Research Article

Showing the effects of comorbidity of Diabetes Mellitus on diabetics’ population from a simple linear mathematical model

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pp. 47–65Vol. 28Issue 1January 2025DOI: 10.47974/JSMS-970XML
Received:
05 Oct 2021
Accepted:
13 May 2022
Published Online:
15 Jan 2025
Article type:
Research Article
Language:
EN
Article no.:
JSMS-970
Pages:
47–65

Abstract

It is an established fact that many infectious diseases, including COVID-19, AIDS are difficult to treat in the presence of various other comorbid diseases. It is, therefore, imperative to examine the impact of comorbidity in a noninfectious disease like diabetes. This study examines the effect of comorbidity of Diabetes mellitus on the population dynamics of individuals with and without complications by modifying an existing simple linear mathematical model. A parameter was added to account for the rate of developing comorbid diabetes in the existing mathematical model. The stability nature of the model was determined and found to be asymptotically stable. The problem was solved using analytical and numerical methods of Runge-Kutta of order four, Euler method, and Fundamental matrix. Numerical solutions compare favorably with the analytic solutions. Graphical comparisons were made between the solutions of the original and modified models. The model predicts a continued increase in the number of diabetics, but effective and simultaneous management of diabetes mellitus, its complications, and comorbidities can significantly reduce the number of diabetics with complications. Managing any additional medical conditions that a diabetic may have is crucial for effective diabetes mellitus management.

Keywords

Subject Classifications

93A3065L2093B3534A30

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