Analysis of mathematical model for the dynamics of diabetes mellitus and its complications

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Main Authors: Patrick Olabanji Aye, Kolawole Adefemi Adeyemo, Abayomi Samuel Oke, Adebola Evelyn Omotoye
Other Authors: patrick.aye@aaua.edu.ng
Format: Article
Language:English
Published: Institute of Engineering Mathematics, Universiti Malaysia Perlis 2022
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Online Access:http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74083
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spelling my.unimap-740832022-02-11T12:09:10Z Analysis of mathematical model for the dynamics of diabetes mellitus and its complications Patrick Olabanji Aye Kolawole Adefemi Adeyemo Abayomi Samuel Oke Adebola Evelyn Omotoye patrick.aye@aaua.edu.ng Diabetes mellitus Complications Homotopy perturbation method Simulation and mathematical model Link to publisher's homepage at https://amci.unimap.edu.my/ Diabetes mellitus is a metabolic disorder associated with impaired glucose, lipid and protein metabolism as a consequence of impaired production, secretion or action of insulin in human body system. In this work, we developed a mathematical model for the dynamics of diabetes mellitus and its complications and carried out analysis of the model. The analytical solution of the model equations is obtained using Homotopy Perturbation Method. Numerical simulation of the model solution was done using Mapple 18 Mathematical software. The parameters are varied and their effects on the model dynamics are presented graphically. The results showed that the dearths due to diabetes complications can be reduced drastically if the rate at which complications are treated is high and the rate of developing a complication is slow. 2022-02-11T12:09:07Z 2022-02-11T12:09:07Z 2021-12 Article Applied Mathematics and Computational Intelligence (AMCI), vol.10(1), 2021, pages 57-77 2289-1315 (print) 2289-1323 (online) http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74083 en Institute of Engineering Mathematics, Universiti Malaysia Perlis
institution Universiti Malaysia Perlis
building UniMAP Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaysia Perlis
content_source UniMAP Library Digital Repository
url_provider http://dspace.unimap.edu.my/
language English
topic Diabetes mellitus
Complications
Homotopy perturbation method
Simulation and mathematical model
spellingShingle Diabetes mellitus
Complications
Homotopy perturbation method
Simulation and mathematical model
Patrick Olabanji Aye
Kolawole Adefemi Adeyemo
Abayomi Samuel Oke
Adebola Evelyn Omotoye
Analysis of mathematical model for the dynamics of diabetes mellitus and its complications
description Link to publisher's homepage at https://amci.unimap.edu.my/
author2 patrick.aye@aaua.edu.ng
author_facet patrick.aye@aaua.edu.ng
Patrick Olabanji Aye
Kolawole Adefemi Adeyemo
Abayomi Samuel Oke
Adebola Evelyn Omotoye
format Article
author Patrick Olabanji Aye
Kolawole Adefemi Adeyemo
Abayomi Samuel Oke
Adebola Evelyn Omotoye
author_sort Patrick Olabanji Aye
title Analysis of mathematical model for the dynamics of diabetes mellitus and its complications
title_short Analysis of mathematical model for the dynamics of diabetes mellitus and its complications
title_full Analysis of mathematical model for the dynamics of diabetes mellitus and its complications
title_fullStr Analysis of mathematical model for the dynamics of diabetes mellitus and its complications
title_full_unstemmed Analysis of mathematical model for the dynamics of diabetes mellitus and its complications
title_sort analysis of mathematical model for the dynamics of diabetes mellitus and its complications
publisher Institute of Engineering Mathematics, Universiti Malaysia Perlis
publishDate 2022
url http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74083
_version_ 1729704724248133632
score 13.214268