Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment

Abdelfatah Kouidere, Omar Balatif, Hanane Ferjouchia, Abdesslam Boutayeb and Mostafa Rachik

Discrete Dynamics in Nature and Society, 2019, vol. 2019, 1-8

Abstract:

Nowadays, Diabetes is one of the most common diseases, which has a huge and growing socio-economic burden affecting individuals, families, and the whole society. In this paper, we propose an optimal control approach modeling the evolution from pre-diabetes to diabetes with and without complications and the effect of living environment. We show the existence of an optimal control and then use a numerical implicit finite-difference method to monitor the size of population in each compartment.

Date: 2019
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:6342169

DOI: 10.1155/2019/6342169

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