IDEAS home Printed from https://ideas.repec.org/a/hin/jnddns/9649014.html
   My bibliography  Save this article

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

Author

Listed:
  • Omar Balatif
  • Abderrahim Labzai
  • Mostafa Rachik

Abstract

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.

Suggested Citation

  • Omar Balatif & Abderrahim Labzai & Mostafa Rachik, 2018. "A Discrete Mathematical Modeling and Optimal Control of the Electoral Behavior with regard to a Political Party," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-14, November.
    • Handle: RePEc:hin:jnddns:9649014
    DOI: 10.1155/2018/9649014
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/DDNS/2018/9649014.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/DDNS/2018/9649014.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2018/9649014?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Kada, Driss & Kouidere, Abdelfatah & Balatif, Omar & Rachik, Mostafa & Labriji, El Houssine, 2020. "Mathematical modeling of the spread of COVID-19 among different age groups in Morocco: Optimal control approach for intervention strategies," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    2. Guirao, Juan Luis García & Alsulami, Mansoor & Baskonus, Haci Mehmet & Ilhan, Esin & Veeresha, P., 2023. "Analysis of nonlinear compartmental model using a reliable method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 214(C), pages 133-151.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jnddns:9649014. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.