Application and Optimal Control for an HBV Model with Vaccination and Treatment
Joint Authors
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-13, 13 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-09-02
Country of Publication
Egypt
No. of Pages
13
Main Subjects
Abstract EN
In this study, we formulate a model for hepatitis B virus with control strategies of newborn vaccination and treatment.
Mathematical analysis is done theoretically and numerically.
The results indicate that the stability of equilibria and persistence of the disease are determined by the basic reproductive number R0.
Using the least squares method, the model is applied to simulate yearly new infected cases of hepatitis B in China from 2004 to 2016.
Moreover, optimal control problem with newborn vaccination and treatment appearing as functions of time is analyzed by classical optimal theory.
The existence of the solution to optimality system is proved, and the simulations are conducted to show the results when optimal control or current intervention is used.
American Psychological Association (APA)
Zhang, Jing& Zhang, Suxia. 2018. Application and Optimal Control for an HBV Model with Vaccination and Treatment. Discrete Dynamics in Nature and Society،Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152335
Modern Language Association (MLA)
Zhang, Jing& Zhang, Suxia. Application and Optimal Control for an HBV Model with Vaccination and Treatment. Discrete Dynamics in Nature and Society No. 2018 (2018), pp.1-13.
https://search.emarefa.net/detail/BIM-1152335
American Medical Association (AMA)
Zhang, Jing& Zhang, Suxia. Application and Optimal Control for an HBV Model with Vaccination and Treatment. Discrete Dynamics in Nature and Society. 2018. Vol. 2018, no. 2018, pp.1-13.
https://search.emarefa.net/detail/BIM-1152335
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1152335