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Discrete Fractional Incommensurate Order Ebola Model: Analyzing Dynamics And Numerical Simulation

Author

Listed:
  • MA’MON ABU HAMMAD

    (Department of Mathematics, Al-Zaytoonah University of Jordan, Amman 11733, Jordan)

  • RAMI ALKHATEEB

    (Department of Allied Sciences, Al-Ahliyya Amman University, Amman, Jordan)

  • GHADEER FARRAJ

    (Department of Scientific Basic Sciences, Faculty of Arts and Educational Sciences, Middle East University, Amman, Jordan)

  • NOUREDDINE DJENINA

    (Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El-Bouaghi, Algeria)

  • ADEL OUANNAS

    (Department of Mathematics and Computer Science, University of Larbi Ben M’hidi, Oum El-Bouaghi, Algeria)

Abstract

This paper introduces a groundbreaking approach to understanding the complex dynamics of Ebola virus transmission in populations by leveraging discrete fractional calculus. Our model incorporates non-integer order differences that reflect the intricate stages of infection and recovery, capturing the irregularities and nuances inherent in Ebola dynamics through incommensurate orders. This innovative framework provides a more detailed analysis of how individuals transition between susceptible, infected, and recovered states, revealing critical insights into the transmission patterns of the virus. By refining traditional epidemic models, our research enhances predictive capabilities and offers valuable strategies for effective management and intervention during Ebola outbreaks. This work not only advances the field of epidemiological modeling but also underscores the importance of adapting mathematical frameworks to address the complexities of real-world diseases.

Suggested Citation

  • Ma’Mon Abu Hammad & Rami Alkhateeb & Ghadeer Farraj & Noureddine Djenina & Adel Ouannas, 2025. "Discrete Fractional Incommensurate Order Ebola Model: Analyzing Dynamics And Numerical Simulation," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 33(06), pages 1-10.
    • Handle: RePEc:wsi:fracta:v:33:y:2025:i:06:n:s0218348x25401279
    DOI: 10.1142/S0218348X25401279
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