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

  • Moussa Bachraou
  • Khalid Hattaf
  • Noura Yousfi


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.


HBV infection Mathematical modeling Capsids Global stability 


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Copyright information

© Springer Nature Switzerland AG 2019

Authors and Affiliations

  • Moussa Bachraou
    • 1
  • Khalid Hattaf
    • 1
    • 2
  • Noura Yousfi
    • 1
  1. 1.Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sikHassan II UniversityCasablancaMorocco
  2. 2.Centre Régional des Métiers de l’Education et de la Formation (CRMEF)CasablancaMorocco

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