A Linear Mathematical Model for the Transmission Dynamics of Diabetes Mellitus

Diabetes mellitus is a global health problem, escalating at a disturbing rate due to unbalanced lifestyles and some underlying health issues. In this work, a system of first-order linear ordinary differential equations as well as numerical simulations were employed to gain insight into the dynamics...

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Main Authors: Abayomi Ayoade, Sunday Olanrewaju Agboola
Format: Article
Language:English
Published: Qom University of Technology 2023-06-01
Series:Mathematics and Computational Sciences
Subjects:
Online Access:https://mcs.qut.ac.ir/article_705144_b36123c9a6c0c4de249237336c6a8285.pdf
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author Abayomi Ayoade
Sunday Olanrewaju Agboola
author_facet Abayomi Ayoade
Sunday Olanrewaju Agboola
author_sort Abayomi Ayoade
collection DOAJ
description Diabetes mellitus is a global health problem, escalating at a disturbing rate due to unbalanced lifestyles and some underlying health issues. In this work, a system of first-order linear ordinary differential equations as well as numerical simulations were employed to gain insight into the dynamics of the disease. The theoretical outcomeof the analysis was derived in terms of the model parameters while computer simulation was used to assess the behavior of the model in terms of the parameter values. Both the theoretical and numerical studies of the model revealed lifestyles and effective treatment as the parameters to be targeted for effective reduction in both diabetes prevalence and mortality. It is therefore concluded that diabetes prevalence and mortality reduction is a function of adjustment in unbalanced lifestyles as well as improvement in diabetes treatment.
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spelling doaj.art-29857e1f354445b6931578670b5b2ea32024-03-27T09:03:19ZengQom University of TechnologyMathematics and Computational Sciences2717-27082023-06-0142253210.30511/mcs.2023.1982985.1100705144A Linear Mathematical Model for the Transmission Dynamics of Diabetes MellitusAbayomi Ayoade0Sunday Olanrewaju Agboola1Department of Mathematics, Faculty of Science, University of LagosDepartment of Mathematical Sciences, Nigerian Army University, Biu, NigeriaDiabetes mellitus is a global health problem, escalating at a disturbing rate due to unbalanced lifestyles and some underlying health issues. In this work, a system of first-order linear ordinary differential equations as well as numerical simulations were employed to gain insight into the dynamics of the disease. The theoretical outcomeof the analysis was derived in terms of the model parameters while computer simulation was used to assess the behavior of the model in terms of the parameter values. Both the theoretical and numerical studies of the model revealed lifestyles and effective treatment as the parameters to be targeted for effective reduction in both diabetes prevalence and mortality. It is therefore concluded that diabetes prevalence and mortality reduction is a function of adjustment in unbalanced lifestyles as well as improvement in diabetes treatment.https://mcs.qut.ac.ir/article_705144_b36123c9a6c0c4de249237336c6a8285.pdfdiabetes mellituslifestylesimulationmathematical modeltreatments
spellingShingle Abayomi Ayoade
Sunday Olanrewaju Agboola
A Linear Mathematical Model for the Transmission Dynamics of Diabetes Mellitus
Mathematics and Computational Sciences
diabetes mellitus
lifestyle
simulation
mathematical model
treatments
title A Linear Mathematical Model for the Transmission Dynamics of Diabetes Mellitus
title_full A Linear Mathematical Model for the Transmission Dynamics of Diabetes Mellitus
title_fullStr A Linear Mathematical Model for the Transmission Dynamics of Diabetes Mellitus
title_full_unstemmed A Linear Mathematical Model for the Transmission Dynamics of Diabetes Mellitus
title_short A Linear Mathematical Model for the Transmission Dynamics of Diabetes Mellitus
title_sort linear mathematical model for the transmission dynamics of diabetes mellitus
topic diabetes mellitus
lifestyle
simulation
mathematical model
treatments
url https://mcs.qut.ac.ir/article_705144_b36123c9a6c0c4de249237336c6a8285.pdf
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