IDEAS home Printed from https://ideas.repec.org/a/hin/jnljam/8073877.html
   My bibliography  Save this article

Mathematical Model and Analysis of Corruption Dynamics with Optimal Control

Author

Listed:
  • Abayneh Kebede Fantaye
  • Zerihun Kinfe Birhanu
  • Bruno Carpentieri

Abstract

In this study, a deterministic mathematical model that explains the transmission dynamics of corruption is proposed and analyzed by considering social influence on honest individuals. Positivity and boundedness of solution of the model are proved and basic reproduction number R0 is computed using the next-generation matrix method. The analysis shows that corruption-free equilibrium is locally and globally asymptotically stable whenever R0 1. Then, the model was extended to optimal control, and some numerical simulations with and without optimal control are also performed to verify the theoretical analysis using MATLAB. Numerical simulation of optimal control model shows that the prevention and punishment strategy is the most effective strategy to reduce the dynamic transmission of corruption.

Suggested Citation

  • Abayneh Kebede Fantaye & Zerihun Kinfe Birhanu & Bruno Carpentieri, 2022. "Mathematical Model and Analysis of Corruption Dynamics with Optimal Control," Journal of Applied Mathematics, Hindawi, vol. 2022, pages 1-16, January.
    • Handle: RePEc:hin:jnljam:8073877
    DOI: 10.1155/2022/8073877
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/jam/2022/8073877.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/jam/2022/8073877.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2022/8073877?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. Sooknanan, Joanna & Seemungal, Terence A.R., 2023. "Criminals and their models - a review of epidemiological models describing criminal behaviour," Applied Mathematics and Computation, Elsevier, vol. 458(C).
    2. Crokidakis, Nuno, 2024. "Nonequilibrium phase transitions and absorbing states in a model for the dynamics of religious affiliation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 643(C).
    3. Baba, Isa Abdullahi & Rihan, Fathalla A. & Hincal, Evren, 2023. "A fractional order model that studies terrorism and corruption codynamics as epidemic disease," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).

    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:jnljam:8073877. 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.