Dynamics of a fractional order HBV infection model with capsids and CTL immune response

Moussa Bachraoui, Khalid Hattaf, Noura Yousfi

Abstract


In this article, a fractional order model for hepatitis B virus (HBV) infection with capsids and immune response presented by cytotoxic T lymphocyte (CTL) cells is proposed and investigated. The infection transmission is modeled by Hattaf-Yousfi functional response and the fractional derivative is in the Caputo sense. First, the well-posedness of the proposed model is proved in terms of existence, uniqueness, non-negativity and boundness of solutions. The global asymptotic stability of steady states is established by using suitable Lyapunov functionals and applying LaSalle’s invariance principle. Numerical simulations are performed to illustrate the analytical results.

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Published: 2019-03-14

How to Cite this Article:

Moussa Bachraoui, Khalid Hattaf, Noura Yousfi, Dynamics of a fractional order HBV infection model with capsids and CTL immune response, Communications in Mathematical Biology and Neuroscience, Vol 2019 (2019), Article ID 6

Copyright © 2019 Moussa Bachraoui, Khalid Hattaf, Noura Yousfi. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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