Abstract
In this study we propose an extension of the mathematical model developed by Derouich et al. [1] 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.
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Boutayeb, W., Lamlili, M.E.N., Boutayeb, A., Derouich, M. (2016). The Dynamics of a Population of Healthy People, Pre-diabetics and Diabetics with and without Complications with Optimal Control. In: El Oualkadi, A., Choubani, F., El Moussati, A. (eds) Proceedings of the Mediterranean Conference on Information & Communication Technologies 2015. Lecture Notes in Electrical Engineering, vol 380. Springer, Cham. https://doi.org/10.1007/978-3-319-30301-7_49
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DOI: https://doi.org/10.1007/978-3-319-30301-7_49
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