Analysis and Simulation of a Fractional Order Optimal Control Model for HBV

In this paper, we propose a fractional optimal control model of anti-HBV infection based on saturation incidence and logistic proliferation of uninfected cells for the first time. We derive the basic reproduction number R0 and the cytotoxic T lymphocyte immune response reproductive number R1 and giv...

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Bibliographic Details
Published in:Journal of function spaces 2020, Vol.2020 (2020), p.1-14
Main Authors: Ye, Yong’an, Li, Xiaoke, Su, Yongmei, Yang, Liangli
Format: Article
Language:English
Subjects:
Analysis
Cell proliferation
Computer simulation
Control theory
Cytotoxicity
Health aspects
Hepatitis B
Herbal medicine
HIV
Human immunodeficiency virus
Immune response
Infection
Infections
Infectious diseases
Liver
Lymphocytes
Lymphocytes T
Mathematical models
Objective function
Optimal control
Side effects
T cells
Therapy
Traditional Chinese medicine
Viral infections
Viruses
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Summary:In this paper, we propose a fractional optimal control model of anti-HBV infection based on saturation incidence and logistic proliferation of uninfected cells for the first time. We derive the basic reproduction number R0 and the cytotoxic T lymphocyte immune response reproductive number R1 and give the stable analysis based on R0 and R1. We analyse the optimal control condition and give two optimal control strategies about entecavir monotherapy and combination therapy of traditional Chinese medicine and entecavir with different fractional orders by simulation. The simulation shows that combination therapy may be a good choice in anti-HBV infection therapy. We also compare the objective function values of the optimal control strategies with other constant control strategies; the comparison shows that the optimal therapy can get similar or better treatment effect with less drug dose and side effects.
ISSN:2314-8896
2314-8888
DOI:10.1155/2020/8175217