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Fractional Modeling And Numerical Simulation For Unfolding Marburg–Monkeypox Virus Co-Infection Transmission

Author

Listed:
  • NAN ZHANG

    (Department of Mathematics, Taiyuan University of Technology, Shanxi, Taiyuan 030024, P. R. China)

  • EMMANUEL ADDAI

    (Department of Mathematics, Taiyuan University of Technology, Shanxi, Taiyuan 030024, P. R. China†College of Biomedical Engineering, Taiyuan University of Technology, Shanxi, Taiyuan 030024, P. R. China)

  • LINGLING ZHANG

    (Department of Mathematics, Taiyuan University of Technology, Shanxi, Taiyuan 030024, P. R. China)

  • MERCY NGUNGU

    (��Human Sciences Research Council (HSRC), South Africa)

  • EDMORE MARINDA

    (��Human Sciences Research Council (HSRC), South Africa)

  • JOSHUA KIDDY K. ASAMOAH

    (�Department of Mathematics, Kwame Nkrumah University of Science and Technology, Kumasi, Ghana)

Abstract

In this paper, we investigate a deterministic mathematical model of Marburg–Monkeypox virus co-infection transmission under the Caputo fractional-order derivative. We discussed the dynamics behavior of the model and carried out qualitative and quantitative analysis, including the positivity–boundedness of solution, and the basic reproduction number ℜo. In addition, the Banach and Schauder-type fixed point theorem is utilized to explore the existence–uniqueness of the solution in the suggested model and the proposed model stability under the Ulam–Hyers condition is demonstrated. In numerical simulation, the Predictor–Corrector method is used to determine the numerical solutions. According to the numerical result, increasing the rate of quarantine and detecting unknown Marburg virus, will be the most effective control intervention to reduce Marburg and Monkeypox virus transmission in the population.

Suggested Citation

  • Nan Zhang & Emmanuel Addai & Lingling Zhang & Mercy Ngungu & Edmore Marinda & Joshua Kiddy K. Asamoah, 2023. "Fractional Modeling And Numerical Simulation For Unfolding Marburg–Monkeypox Virus Co-Infection Transmission," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 31(07), pages 1-23.
    • Handle: RePEc:wsi:fracta:v:31:y:2023:i:07:n:s0218348x2350086x
    DOI: 10.1142/S0218348X2350086X
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