Qualitative analysis of a fractional model for HBV infection with capsids and adaptive immunity
by Moussa Bachraoui; Khalid Hattaf; Noura Yousfi
International Journal of Dynamical Systems and Differential Equations (IJDSDE), Vol. 12, No. 2, 2022

Abstract: This paper presents a mathematical model governed by fractional differential equations (FDEs) that describes the dynamics of hepatitis B virus (HBV) infection in within human body. The FDE model takes into account the HBV DNA-containing capsids, and the adaptive immunity mediated by cytotoxic T lymphocytes (CTL) cells and antibodies. Also, the incidence of infection is presented by Hattaf-Yousfi functional response that includes various forms existing in the literature. Moreover, the qualitative properties of the FDE model is rigorously established. Finally, numerical simulations are presented to support the theoretical results.

Online publication date: Mon, 20-Jun-2022

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