Analysis and Simulation of a Fractional Order Optimal Control Model for HBV
Joint Authors
Su, Yongmei
Ye, Yong’an
Yang, Liangli
Li, Xiaoke
Source
Issue
Vol. 2020, Issue 2020 (31 Dec. 2020), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2020-06-23
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Yang, Liangli& Su, Yongmei& Li, Xiaoke& Ye, Yong’an. 2020. Analysis and Simulation of a Fractional Order Optimal Control Model for HBV. Journal of Function Spaces،Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1185829
Modern Language Association (MLA)
Yang, Liangli…[et al.]. Analysis and Simulation of a Fractional Order Optimal Control Model for HBV. Journal of Function Spaces No. 2020 (2020), pp.1-14.
https://search.emarefa.net/detail/BIM-1185829
American Medical Association (AMA)
Yang, Liangli& Su, Yongmei& Li, Xiaoke& Ye, Yong’an. Analysis and Simulation of a Fractional Order Optimal Control Model for HBV. Journal of Function Spaces. 2020. Vol. 2020, no. 2020, pp.1-14.
https://search.emarefa.net/detail/BIM-1185829
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1185829