Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis
Diabetes is sweeping the world as a silent epidemic, posing a growing threat to public health. Modeling diabetes is an effective method to monitor the increasing prevalence of diabetes and develop cost-effective strategies that control the incidence of diabetes and its complications. This paper focu...
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2023
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| Online Access: | http://hdl.handle.net/11073/25104 |
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| _version_ | 1864513434415005696 |
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| author | AlShurbaji, Mohammad |
| author2 | Kader, Lamis Abdul Hannan, Hadia Mortula, Maruf Husseini, Ghaleb |
| author2_role | author author author author |
| author_facet | AlShurbaji, Mohammad Kader, Lamis Abdul Hannan, Hadia Mortula, Maruf Husseini, Ghaleb |
| author_role | author |
| dc.creator.none.fl_str_mv | AlShurbaji, Mohammad Kader, Lamis Abdul Hannan, Hadia Mortula, Maruf Husseini, Ghaleb |
| dc.date.none.fl_str_mv | 2023-01-05T04:34:43Z 2023-01-05T04:34:43Z 2023-01-04 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | AlShurbaji, M.; Kader, L.A.; Hannan, H.; Mortula, M.; Husseini, G.A. Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis. Int. J. Environ. Res. Public Health 2023, 20, 939. https://doi.org/10.3390/ijerph20020939 1660-4601 http://hdl.handle.net/11073/25104 10.3390/ijerph20020939 |
| dc.language.none.fl_str_mv | en_US |
| dc.publisher.none.fl_str_mv | MDPI |
| dc.relation.none.fl_str_mv | https://doi.org/10.3390/ijerph20020939 |
| dc.subject.none.fl_str_mv | Diabetes mellitus Diabetes prevalence Diabetes complications Diabetes control Ordinary differential equations (ODEs) Numerical methods Mathematical model Stability analysis |
| dc.title.none.fl_str_mv | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis |
| dc.type.none.fl_str_mv | Peer-Reviewed Published version info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/article |
| description | Diabetes is sweeping the world as a silent epidemic, posing a growing threat to public health. Modeling diabetes is an effective method to monitor the increasing prevalence of diabetes and develop cost-effective strategies that control the incidence of diabetes and its complications. This paper focuses on a mathematical model known as the diabetes complication (DC) model. The DC model is analyzed using different numerical methods to monitor the diabetic population over time. This is by analyzing the model using five different numerical methods. Furthermore, the effect of the time step size and the various parameters affecting the diabetic situation is examined. The DC model is dependent on some parameters whose values play a vital role in the convergence of the model. Thus, parametric analysis was implemented and later discussed in this paper. Essentially, the Runge–Kutta (RK) method provides the highest accuracy. Moreover, Adam–Moulton's method also provides good results. Ultimately, a comprehensive understanding of the development of diabetes complications after diagnosis is provided in this paper. The results can be used to understand how to improve the overall public health of a country, as governments ought to develop effective strategic initiatives for the screening and treatment of diabetes. |
| format | article |
| id | aus_b6c7687cced570e505b1e80dd7ba341c |
| identifier_str_mv | AlShurbaji, M.; Kader, L.A.; Hannan, H.; Mortula, M.; Husseini, G.A. Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis. Int. J. Environ. Res. Public Health 2023, 20, 939. https://doi.org/10.3390/ijerph20020939 1660-4601 10.3390/ijerph20020939 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/25104 |
| publishDate | 2023 |
| publisher.none.fl_str_mv | MDPI |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric AnalysisAlShurbaji, MohammadKader, Lamis AbdulHannan, HadiaMortula, MarufHusseini, GhalebDiabetes mellitusDiabetes prevalenceDiabetes complicationsDiabetes controlOrdinary differential equations (ODEs)Numerical methodsMathematical modelStability analysisDiabetes is sweeping the world as a silent epidemic, posing a growing threat to public health. Modeling diabetes is an effective method to monitor the increasing prevalence of diabetes and develop cost-effective strategies that control the incidence of diabetes and its complications. This paper focuses on a mathematical model known as the diabetes complication (DC) model. The DC model is analyzed using different numerical methods to monitor the diabetic population over time. This is by analyzing the model using five different numerical methods. Furthermore, the effect of the time step size and the various parameters affecting the diabetic situation is examined. The DC model is dependent on some parameters whose values play a vital role in the convergence of the model. Thus, parametric analysis was implemented and later discussed in this paper. Essentially, the Runge–Kutta (RK) method provides the highest accuracy. Moreover, Adam–Moulton's method also provides good results. Ultimately, a comprehensive understanding of the development of diabetes complications after diagnosis is provided in this paper. The results can be used to understand how to improve the overall public health of a country, as governments ought to develop effective strategic initiatives for the screening and treatment of diabetes.American University of SharjahAl-Jalila FoundationAl Qasimi FoundationPatient's Friends Committee of SharjahBiosciences and Bioengineering Research InstituteGCC Co-Fund ProgramTakamul programTechnology Innovation Pioneer (TIP) Healthcare AwardsSheikh Hamdan Award for Medical SciencesFriends of Cancer Patients (FoCP)Dana Gas Endowed Chair for Chemical EngineeringMDPI2023-01-05T04:34:43Z2023-01-05T04:34:43Z2023-01-04Peer-ReviewedPublished versioninfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfAlShurbaji, M.; Kader, L.A.; Hannan, H.; Mortula, M.; Husseini, G.A. Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis. Int. J. Environ. Res. Public Health 2023, 20, 939. https://doi.org/10.3390/ijerph200209391660-4601http://hdl.handle.net/11073/2510410.3390/ijerph20020939en_UShttps://doi.org/10.3390/ijerph20020939oai:repository.aus.edu:11073/251042024-08-22T12:06:55Z |
| spellingShingle | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis AlShurbaji, Mohammad Diabetes mellitus Diabetes prevalence Diabetes complications Diabetes control Ordinary differential equations (ODEs) Numerical methods Mathematical model Stability analysis |
| status_str | publishedVersion |
| title | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis |
| title_full | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis |
| title_fullStr | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis |
| title_full_unstemmed | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis |
| title_short | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis |
| title_sort | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis |
| topic | Diabetes mellitus Diabetes prevalence Diabetes complications Diabetes control Ordinary differential equations (ODEs) Numerical methods Mathematical model Stability analysis |
| url | http://hdl.handle.net/11073/25104 |