IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v182y2021icp705-720.html
   My bibliography  Save this article

Mathematical modeling and parameter estimation of unemployment with the impact of training programs

Author

Listed:
  • Al-Maalwi, Raneah
  • Al-Sheikh, Sarah
  • Ashi, H.A.
  • Asiri, Sharefa

Abstract

The purpose of this paper is to develop and analyze a mathematical model that represents the problem of unemployment in poor countries with limited availability of jobs. We are interested in studying the effect of training programs on the model’s dynamics. These training programs aim to improve the skills of unemployed people, contributing to a reduction of the unemployment rate. The model consists of a system of four ordinary differential equations; two equilibria of the model are found: one of which is the employment free equilibrium and the other corresponds to the presence of employment. The existence and stability analysis of both equilibria depend on the basic reproduction number which is found using the method of next generation matrix. However, this number depends on the model parameters which are usually unknown. Hence, we propose to estimate them using the modulating function-based method. Moreover, we study the existence of transcritical bifurcation with the rate of training as a bifurcation parameter. Finally, we support our qualitative results using numerical simulations.

Suggested Citation

  • Al-Maalwi, Raneah & Al-Sheikh, Sarah & Ashi, H.A. & Asiri, Sharefa, 2021. "Mathematical modeling and parameter estimation of unemployment with the impact of training programs," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 705-720.
    • Handle: RePEc:eee:matcom:v:182:y:2021:i:c:p:705-720
    DOI: 10.1016/j.matcom.2020.11.018
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475420304134
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2020.11.018?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Anibal Galindro & Delfim F. M. Torres, 2017. "A simple mathematical model for unemployment: a case study in Portugal with optimal control," Papers 1801.00058, arXiv.org.
    Full references (including those not matched with items on IDEAS)

    Citations

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


    Cited by:

    1. Pushkar Kumar Singh & Kusum Lata & Arvind Kumar Singh & Arvind Kumar Misra, 2023. "Modeling the effect of unemployment augmented industrialization on the control of unemployment," Environment, Development and Sustainability: A Multidisciplinary Approach to the Theory and Practice of Sustainable Development, Springer, vol. 25(1), pages 587-600, January.
    2. Eva Kaslik & Mihaela Neamţu & Loredana Flavia Vesa, 2021. "Global Stability Analysis of a Five-Dimensional Unemployment Model with Distributed Delay," Mathematics, MDPI, vol. 9(23), pages 1-15, November.
    3. Njike-Tchaptchet, Eric Rostand & Tadmon, Calvin, 2023. "Mathematical modeling of the unemployment problem in a context of financial crisis," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 211(C), pages 241-262.
    4. Phi-Hung Nguyen & Jung-Fa Tsai & Ihsan Erdem Kayral & Ming-Hua Lin, 2021. "Unemployment Rates Forecasting with Grey-Based Models in the Post-COVID-19 Period: A Case Study from Vietnam," Sustainability, MDPI, vol. 13(14), pages 1-27, July.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:eee:matcom:v:182:y:2021:i:c:p:705-720. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

      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.