dc.contributor.author | AlShurbaji, Mohammad | |
dc.contributor.author | Kader, Lamis Abdul | |
dc.contributor.author | Hannan, Hadia | |
dc.contributor.author | Mortula, Maruf | |
dc.contributor.author | Husseini, Ghaleb | |
dc.date.accessioned | 2023-01-05T04:34:43Z | |
dc.date.available | 2023-01-05T04:34:43Z | |
dc.date.issued | 2023-01-04 | |
dc.identifier.citation | 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 | en_US |
dc.identifier.issn | 1660-4601 | |
dc.identifier.uri | http://hdl.handle.net/11073/25104 | |
dc.description.abstract | 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. | en_US |
dc.description.sponsorship | American University of Sharjah | en_US |
dc.description.sponsorship | Al-Jalila Foundation | en_US |
dc.description.sponsorship | Al Qasimi Foundation | en_US |
dc.description.sponsorship | Patient's Friends Committee of Sharjah | en_US |
dc.description.sponsorship | Biosciences and Bioengineering Research Institute | en_US |
dc.description.sponsorship | GCC Co-Fund Program | en_US |
dc.description.sponsorship | Takamul program | en_US |
dc.description.sponsorship | Technology Innovation Pioneer (TIP) Healthcare Awards | en_US |
dc.description.sponsorship | Sheikh Hamdan Award for Medical Sciences | en_US |
dc.description.sponsorship | Friends of Cancer Patients (FoCP) | en_US |
dc.description.sponsorship | Dana Gas Endowed Chair for Chemical Engineering | en_US |
dc.language.iso | en_US | en_US |
dc.publisher | MDPI | en_US |
dc.relation.uri | https://doi.org/10.3390/ijerph20020939 | en_US |
dc.subject | Diabetes mellitus | en_US |
dc.subject | Diabetes prevalence | en_US |
dc.subject | Diabetes complications | en_US |
dc.subject | Diabetes control | en_US |
dc.subject | Ordinary differential equations (ODEs) | en_US |
dc.subject | Numerical methods | en_US |
dc.subject | Mathematical model | en_US |
dc.subject | Stability analysis | en_US |
dc.title | Comprehensive Study of a Diabetes Mellitus Mathematical Model Using Numerical Methods with Stability and Parametric Analysis | en_US |
dc.type | Article | en_US |
dc.type | Peer-Reviewed | en_US |
dc.type | Published version | en_US |
dc.identifier.doi | 10.3390/ijerph20020939 | |