Analysis of mathematical model for the dynamics of diabetes mellitus and its complications
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Institute of Engineering Mathematics, Universiti Malaysia Perlis
2022
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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 |
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Diabetes mellitus Complications Homotopy perturbation method Simulation and mathematical model |
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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 |
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Link to publisher's homepage at https://amci.unimap.edu.my/ |
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patrick.aye@aaua.edu.ng |
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patrick.aye@aaua.edu.ng Patrick Olabanji Aye Kolawole Adefemi Adeyemo Abayomi Samuel Oke Adebola Evelyn Omotoye |
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Article |
author |
Patrick Olabanji Aye Kolawole Adefemi Adeyemo Abayomi Samuel Oke Adebola Evelyn Omotoye |
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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 |
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Analysis of mathematical model for the dynamics of diabetes mellitus and its complications |
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analysis of mathematical model for the dynamics of diabetes mellitus and its complications |
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Institute of Engineering Mathematics, Universiti Malaysia Perlis |
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2022 |
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http://dspace.unimap.edu.my:80/xmlui/handle/123456789/74083 |
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1729704724248133632 |
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13.214268 |