A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party

A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party

In this work, we propose a discrete mathematical model that describes the dynamics of citizens who have the right to vote and their electoral behavior with regard to a political party during an awareness program or an electoral campaign. Also, we propose an optimal strategy for an awareness program...

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Main Authors: Omar Balatif, Abderrahim Labzai, Mostafa Rachik
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:Discrete Dynamics in Nature and Society
Online Access:http://dx.doi.org/10.1155/2018/9649014
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spelling doaj-0f9d801edef141688a96159036e990802020-11-24T21:46:38ZengHindawi LimitedDiscrete Dynamics in Nature and Society1026-02261607-887X2018-01-01201810.1155/2018/96490149649014A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political PartyOmar Balatif0Abderrahim Labzai1Mostafa Rachik2Mathematical Engineering Team (INMA), Department of Mathematics, Faculty of Sciences El Jadida, Chouaib Doukkali University, El Jadida, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Mohammedia, Sidi Othman, Casablanca, MoroccoLaboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M’Sik, Hassan II University Mohammedia, Sidi Othman, Casablanca, MoroccoIn this work, we propose a discrete mathematical model that describes the dynamics of citizens who have the right to vote and their electoral behavior with regard to a political party during an awareness program or an electoral campaign. Also, we propose an optimal strategy for an awareness program or an election campaign that helps politicians to distinguish between different categories of voters in order to increase the participation rate in the electoral process and obtain the greatest possible number of votes with a minimal effort. Pontryagin’s Maximum Principle, in discrete time, is used to characterize the optimal controls and the optimality system is solved by an iterative method. The numerical simulation is carried out using Matlab. Consequently, the obtained results confirm the performance of the optimization strategy.http://dx.doi.org/10.1155/2018/9649014
collection DOAJ
language English
format Article
sources DOAJ
author Omar Balatif
Abderrahim Labzai
Mostafa Rachik
spellingShingle Omar Balatif
Abderrahim Labzai
Mostafa Rachik
A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party
Discrete Dynamics in Nature and Society
author_facet Omar Balatif
Abderrahim Labzai
Mostafa Rachik
author_sort Omar Balatif
title A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party
title_short A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party
title_full A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party
title_fullStr A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party
title_full_unstemmed A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party
title_sort discrete mathematical modeling and optimal control of the electoral behavior with regard to a political party
publisher Hindawi Limited
series Discrete Dynamics in Nature and Society
issn 1026-0226
1607-887X
publishDate 2018-01-01
description In this work, we propose a discrete mathematical model that describes the dynamics of citizens who have the right to vote and their electoral behavior with regard to a political party during an awareness program or an electoral campaign. Also, we propose an optimal strategy for an awareness program or an election campaign that helps politicians to distinguish between different categories of voters in order to increase the participation rate in the electoral process and obtain the greatest possible number of votes with a minimal effort. Pontryagin’s Maximum Principle, in discrete time, is used to characterize the optimal controls and the optimality system is solved by an iterative method. The numerical simulation is carried out using Matlab. Consequently, the obtained results confirm the performance of the optimization strategy.
url http://dx.doi.org/10.1155/2018/9649014
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