Spatiotemporal Dynamics of Fractional Hepatitis B Virus Infection Model with Humoral and Cellular Immunity

Moussa Bachraoui (), Khalid Hattaf and Noura Yousfi
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Moussa Bachraoui: 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: Chaos and Control in Epidemics, Ecosystems, and Cells, 2021, pp 293-313 from Springer

Abstract: Abstract In this chapter, we propose a mathematical model governed by fractional partial differential equations (FPDEs) that describes the dynamics of hepatitis B virus (HBV) infection in presence of humoral and cellular immune responses which are mediated by antibodies and cytotoxic T lymphocytes (CTL) cells. The incidence of infection is modeled by Hattaf-Yousfi functional response that includes various forms existing in the literature. Furthermore, the global properties of the model are rigorously investigated. Finally, numerical simulations are presented to support the analytical results.

Keywords: HBV infection; Adaptive immunity; Fractional partial differential equations; Diffusion; Global stability (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-73241-7_19

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DOI: 10.1007/978-3-030-73241-7_19

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