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Hyers–Ulam Stability Of Ebola And Nipah Virus Co-Infection Fractional Dynamics

Author

Listed:
  • DHIVYA SUNDAR

    (Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India)

  • VEDIYAPPAN GOVINDAN

    (Department of Mathematics, Hindustan Institute of Technology and Science, Chennai, Tamil Nadu, India)

  • P. VIGNESH

    (Department of Mathematics, Saveetha Institute of Medical and Technical Sciences, Saveetha School of Engineering, Chennai, Tamil Nadu, India)

  • SHYAM SUNDAR SANTRA

    (Department of Mathematics, JIS College of Engineering, Kalyani 741235, West Bengal, India)

  • DUMITRU BALEANU

    (Department of Computer Science and Mathematics, Lebanese American University, Beirut 11022801, Lebanon)

  • MOHAMED ALTANJI

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

Abstract

In this research, the goal is to formulate a mathematical model that predicts the transference mechanisms of Ebola virus (EBOV) and Nipah virus (NIV) infections. They utilize fractional-order derivatives to describe the behavior of the viruses, particularly focusing on the difference in disease manifestation between humans and fruit bats, the putative natural reservoirs. Additionally, they employ fixed-point theory to analyze the qualitative aspects of their model. Also, we investigate the stability of the model using Ulam-Hyers-type results. Furthermore, we utilize the fractional Atangana–Baleanu integral and the Adams–Milton numerical method using MATLAB to provide graphical representations and insights into the behavior of the viruses under various conditions of transference.

Suggested Citation

  • Dhivya Sundar & Vediyappan Govindan & P. Vignesh & Shyam Sundar Santra & Dumitru Baleanu & Mohamed Altanji, 2024. "Hyers–Ulam Stability Of Ebola And Nipah Virus Co-Infection Fractional Dynamics," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 32(09n10), pages 1-20.
    • Handle: RePEc:wsi:fracta:v:32:y:2024:i:09n10:n:s0218348x25400341
    DOI: 10.1142/S0218348X25400341
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