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

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

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...

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Main Authors: Abdelfatah Kouidere, Omar Balatif, Hanane Ferjouchia, Abdesslam Boutayeb, Mostafa Rachik
Format: Article
Language:English
Published: Hindawi Limited 2019-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2019/6342169
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spelling doaj-8bacc106545e4633927bf630b423f4832020-11-25T00:55:07ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/63421696342169Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living EnvironmentAbdelfatah Kouidere0Omar Balatif1Hanane Ferjouchia2Abdesslam Boutayeb3Mostafa Rachik4Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, BP 7955, Sidi Otheman, Casablanca, MoroccoMathematical Engineering Team (INMA), Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, MoroccoDepartment of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, BP 7955, Sidi Otheman, Casablanca, MoroccoURAC04, LaMSD, Department of Mathematics, Faculty of Sciences, Mohammed Premier University, Oujda, MoroccoDepartment of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University of Casablanca, BP 7955, Sidi Otheman, Casablanca, MoroccoNowadays, 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.http://dx.doi.org/10.1155/2019/6342169
collection DOAJ
language English
format Article
sources DOAJ
author Abdelfatah Kouidere
Omar Balatif
Hanane Ferjouchia
Abdesslam Boutayeb
Mostafa Rachik
spellingShingle Abdelfatah Kouidere
Omar Balatif
Hanane Ferjouchia
Abdesslam Boutayeb
Mostafa Rachik
Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment
Discrete Dynamics in Nature and Society
author_facet Abdelfatah Kouidere
Omar Balatif
Hanane Ferjouchia
Abdesslam Boutayeb
Mostafa Rachik
author_sort Abdelfatah Kouidere
title Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment
title_short Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment
title_full Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment
title_fullStr Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment
title_full_unstemmed Optimal Control Strategy for a Discrete Time to the Dynamics of a Population of Diabetics with Highlighting the Impact of Living Environment
title_sort optimal control strategy for a discrete time to the dynamics of a population of diabetics with highlighting the impact of living environment
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2019-01-01
description 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.
url http://dx.doi.org/10.1155/2019/6342169
work_keys_str_mv AT abdelfatahkouidere optimalcontrolstrategyforadiscretetimetothedynamicsofapopulationofdiabeticswithhighlightingtheimpactoflivingenvironment
AT omarbalatif optimalcontrolstrategyforadiscretetimetothedynamicsofapopulationofdiabeticswithhighlightingtheimpactoflivingenvironment
AT hananeferjouchia optimalcontrolstrategyforadiscretetimetothedynamicsofapopulationofdiabeticswithhighlightingtheimpactoflivingenvironment
AT abdesslamboutayeb optimalcontrolstrategyforadiscretetimetothedynamicsofapopulationofdiabeticswithhighlightingtheimpactoflivingenvironment
AT mostafarachik optimalcontrolstrategyforadiscretetimetothedynamicsofapopulationofdiabeticswithhighlightingtheimpactoflivingenvironment
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