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A Fractional Order Model for HBV Infection with Capsids and Cure Rate

In: Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics

Author

Listed:
  • Moussa Bachraou

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik)

  • Khalid Hattaf

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik
    Centre Régional des Métiers de l’Education et de la Formation (CRMEF))

  • Noura Yousfi

    (Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik)

Abstract

In this work, we propose and analyze a fractional order model for hepatitis B virus (HBV) infection with capsids and cure of infected cells. We first prove the existence, positivity, and boundedness of solutions in order to ensure the well-posedness of our proposed model. By constructing appropriate Lyapunov functionals, the global stability of the steady states is established. Numerical simulations are presented in order to validate our theoretical results.

Suggested Citation

  • Moussa Bachraou & Khalid Hattaf & Noura Yousfi, 2019. "A Fractional Order Model for HBV Infection with Capsids and Cure Rate," Springer Books, in: Rubem P. Mondaini (ed.), Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, pages 359-371, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-23433-1_23
    DOI: 10.1007/978-3-030-23433-1_23
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