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International Journal of Neutrosophic Science

Volume 26 , Issue 1 , PP: 266-282, 2025 | Cite this article as | XML | Html | PDF | Full Length Article

Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation

Shaher Momani 1 , Iqbal M. Batiha 2 * , Mohammad S. Hijazi 3 , Issam Bendib 4 , Adel Ouannas 5 , Nidal Anakira 6

  • 1 Department of Mathematics, School of Science, The University of Jordan, Amman, 11942, Jordan; Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAE - (s.momani@ju.edu.jo)
  • 2 Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 346, UAE; Department of Mathematics, Al Zaytoonah University of Jordan, Amman 11733, Jordan - (i.batiha@zuj.edu.jo)
  • 3 Department of Mathematics, College of Sciences, Jouf University, Sakaka, Saudi Arabia - (Mshijazi@ju.edu.sa)
  • 4 Applied Mathematics & Modeling Laboratory, Department of Mathematics, Faculty of Exact Sciences, University of Brothers Mentouri, Constantine 25000, Algeria - (bendib.issam@doc.umc.edu.dz)
  • 5 Department of Mathematics and Computer Science, University of Oum El Bouaghi, Oum El Bouaghi 04000, Algeria - (ouannas.adel@univ-oeb.dz)
  • 6 Faculty of Education and Arts, Sohar University, Sohar 3111, Oman; Applied Science Research Center, Applied Science Private University, Amman 11937, Jordan - (nanakira@su.edu.om)

    • Doi: https://doi.org/10.54216/IJNS.260123

    Received: October 24, 2024 Revised: January 02, 2025 Accepted: February 20, 2025
    Abstract

    This paper investigates a fractional-order SEIR model to study the dynamics of infectious diseases, specifically COVID-19, by incorporating memory effects through fractional derivatives. The model’s formulation enhances the understanding of epidemic dynamics by considering disease transmission, recovery, and mortality rates under fractional calculus. Stability analyses are conducted for the disease-free equilibrium (DFE) and the pandemic fixed point (PFP), identifying critical conditions for finite-time stability using Lyapunov functions and fractional derivatives. Numerical simulations validate theoretical findings, demonstrating finitetime stabilization around the equilibrium points under realistic parameter settings. The results underscore the advantages of fractional-order modeling in capturing complex epidemic dynamics and highlight its potential to inform public health intervention strategies.

    Keywords :

    Fractional-order SEIR model , COVID-19 dynamics , Finite-time stability , Epidemic modeling , Lyapunov functions , Disease-free equilibrium , Pandemic fixed point

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    Cite This Article As :
    Momani, Shaher. , M., Iqbal. , S., Mohammad. , Bendib, Issam. , Ouannas, Adel. , Anakira, Nidal. Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation. International Journal of Neutrosophic Science, vol. , no. , 2025, pp. 266-282. DOI: https://doi.org/10.54216/IJNS.260123
    Momani, S. M., I. S., M. Bendib, I. Ouannas, A. Anakira, N. (2025). Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation. International Journal of Neutrosophic Science, (), 266-282. DOI: https://doi.org/10.54216/IJNS.260123
    Momani, Shaher. M., Iqbal. S., Mohammad. Bendib, Issam. Ouannas, Adel. Anakira, Nidal. Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation. International Journal of Neutrosophic Science , no. (2025): 266-282. DOI: https://doi.org/10.54216/IJNS.260123
    Momani, S. , M., I. , S., M. , Bendib, I. , Ouannas, A. , Anakira, N. (2025) . Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation. International Journal of Neutrosophic Science , () , 266-282 . DOI: https://doi.org/10.54216/IJNS.260123
    Momani S. , M. I. , S. M. , Bendib I. , Ouannas A. , Anakira N. [2025]. Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation. International Journal of Neutrosophic Science. (): 266-282. DOI: https://doi.org/10.54216/IJNS.260123
    Momani, S. M., I. S., M. Bendib, I. Ouannas, A. Anakira, N. "Fractional-Order SEIR Model for COVID-19: Finite-Time Stability Analysis and Numerical Validation," International Journal of Neutrosophic Science, vol. , no. , pp. 266-282, 2025. DOI: https://doi.org/10.54216/IJNS.260123

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