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

Moussa Bachraou, Khalid Hattaf and Noura Yousfi
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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
Noura Yousfi: Hassan II University, Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Science Ben M’sik

A chapter in Trends in Biomathematics: Mathematical Modeling for Health, Harvesting, and Population Dynamics, 2019, pp 359-371 from Springer

Abstract: 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.

Keywords: HBV infection; Mathematical modeling; Capsids; Global stability (search for similar items in EconPapers)
Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-23433-1_23

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DOI: 10.1007/978-3-030-23433-1_23

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