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

Joint Authors

Su, Yongmei
Ye, Yong’an
Yang, Liangli
Li, Xiaoke

Source

Journal of Function Spaces

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

Mathematics

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