IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v10y2022i16p2919-d887344.html
   My bibliography  Save this article

Stochastic Modelling of Lassa Fever Epidemic Disease

Author

Listed:
  • Haneen Hamam

    (Mathematics Department, Umm Al-Qura University, Makkah 24382, Saudi Arabia)

  • Ali Raza

    (Department of Mathematics, Govt, Maulana Zafar Ali Khan Graduate College Wazirabad, Punjab Higher Education Department (PHED), Lahore 54000, Pakistan)

  • Manal M. Alqarni

    (Department of Mathematics, College of Sciences, King Khalid University, Abha 61413, Saudi Arabia)

  • Jan Awrejcewicz

    (Department of Automation, Biomechanics and Mechatronics, Lodz University of Technology, 1/15 Stefanowskiego St., 90-924 Lodz, Poland)

  • Muhammad Rafiq

    (Department of Mathematics, Faculty of Sciences and Technology, University of Central Punjab, Lahore 54000, Pakistan)

  • Nauman Ahmed

    (Department of Mathematics and Statistics, The University of Lahore, Lahore 54000, Pakistan)

  • Emad E. Mahmoud

    (Department of Mathematics and Statistics, College of Science, Taif University, P.O. Box 11099, Taif 21944, Saudi Arabia)

  • Witold Pawłowski

    (Institute of Machine Tools and Production Engineering, Lodz University of Technology, 90-537 Lodz, Poland)

  • Muhammad Mohsin

    (Department of Mathematics, Technische Universitat Chemnitz, 62, 09111 Chemnitz, Germany)

Abstract

Evolutionary approaches have a critical role in different disciplines such as real-world problems, computer programming, machine learning, biological sciences, and many more. The design of the stochastic model is based on transition probabilities and non-parametric techniques. Positivity, boundedness, and equilibria are investigated in deterministic and stochastic senses. An essential tool, Euler–Maruyama, is studied for the solution of said model. Standard and nonstandard evolutionary approaches are presented for the stochastic model in terms of efficiency and low-cost approximations. The standard evolutionary procedures like stochastic Euler–Maruyama and stochastic Runge–Kutta fail to restore the essential features of biological problems. On the other hand, the proposed method is efficient, of meager cost, and adopts all the desired feasible properties. At the end of this paper the comparison section is presented to support efficient analysis.

Suggested Citation

  • Haneen Hamam & Ali Raza & Manal M. Alqarni & Jan Awrejcewicz & Muhammad Rafiq & Nauman Ahmed & Emad E. Mahmoud & Witold Pawłowski & Muhammad Mohsin, 2022. "Stochastic Modelling of Lassa Fever Epidemic Disease," Mathematics, MDPI, vol. 10(16), pages 1-17, August.
  • Handle: RePEc:gam:jmathe:v:10:y:2022:i:16:p:2919-:d:887344
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/10/16/2919/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/10/16/2919/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Ifeanyi Sunday Onah & Obiora Cornelius Collins, 2020. "Dynamical System Analysis of a Lassa Fever Model with Varying Socioeconomic Classes," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-12, November.
    2. Martin Schweizer, 2022. "Editorial: 25th anniversary of Finance and Stochastics," Finance and Stochastics, Springer, vol. 26(1), pages 1-3, January.
    3. Rocío Aznar-Gimeno & Luis M. Esteban & Rafael del-Hoyo-Alonso & Ángel Borque-Fernando & Gerardo Sanz, 2022. "A Stepwise Algorithm for Linearly Combining Biomarkers under Youden Index Maximization," Mathematics, MDPI, vol. 10(8), pages 1-26, April.
    4. E. A. Bakare & E. B. Are & O. E. Abolarin & S. A. Osanyinlusi & Benitho Ngwu & Obiaderi N. Ubaka, 2020. "Mathematical Modelling and Analysis of Transmission Dynamics of Lassa Fever," Journal of Applied Mathematics, Hindawi, vol. 2020, pages 1-18, March.
    Full references (including those not matched with items on IDEAS)

    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.
    1. Abidemi, Afeez & Owolabi, Kolade M. & Pindza, Edson, 2022. "Modelling the transmission dynamics of Lassa fever with nonlinear incidence rate and vertical transmission," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 597(C).
    2. Abdullahi, Auwal, 2021. "Modelling of transmission and control of Lassa fever via Caputo fractional-order derivative," Chaos, Solitons & Fractals, Elsevier, vol. 151(C).

    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:gam:jmathe:v:10:y:2022:i:16:p:2919-:d:887344. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.