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The Dynamics of a Population of Healthy People, Pre-diabetics and Diabetics with and without Complications with Optimal Control

机译:健康人,糖尿病前期和糖尿病合并或不合并最佳控制人群的动力学

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In this study we propose an extension of the mathematical model developed by Derouich et al. by considering the dynamics of healthy people. Moreover an optimal control approach is proposed in order to reduce the burden of pre-diabetes and diabetes with its complications. Our model shows that the number of pre-diabetics and diabetics with and without complications can be limited by a control and hence the overall burden of diabetes can be reduced. The dynamics of a population of healthy, pre-diabetics and diabetics in presence and absence of complications is studied in a period of 10 years with and without optimal control.
机译:在这项研究中,我们提出了Derouich等人开发的数学模型的扩展。考虑健康人的动态。此外,提出了一种最佳的控制方法,以减轻前期糖尿病和糖尿病及其并发症的负担。我们的模型表明,糖尿病患者的数量以及有无糖尿病并发症都可以通过控制来限制,因此可以减轻糖尿病的总体负担。在有和没有最佳控制的情况下,在10年的时间内研究了健康,糖尿病前期和有或没有并发症的人群的动力学。

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