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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
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    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. Martin Schweizer, 2022. "Editorial: 25th anniversary of Finance and Stochastics," Finance and Stochastics, Springer, vol. 26(1), pages 1-3, January.
    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)

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