Mathematical Modeling of Transmission Dynamics and Optimal Control of Vaccination and Treatment for Hepatitis B Virus
Joint Authors
Kamyad, Ali Vahidian
Akbari, Reza
Heydari, Aghileh
Heydari, Ali Akbar
Source
Computational and Mathematical Methods in Medicine
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-04-09
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
Hepatitis B virus (HBV) infection is a worldwide public health problem.
In this paper, we study the dynamics of hepatitis B virus (HBV) infection which can be controlled by vaccination as well as treatment.
Initially we consider constant controls for both vaccination and treatment.
In the constant controls case, by determining the basic reproduction number, we study the existence and stability of the disease-free and endemic steady-state solutions of the model.
Next, we take the controls as time and formulate the appropriate optimal control problem and obtain the optimal control strategy to minimize both the number of infectious humans and the associated costs.
Finally at the end numerical simulation results show that optimal combination of vaccination and treatment is the most effective way to control hepatitis B virus infection.
American Psychological Association (APA)
Kamyad, Ali Vahidian& Akbari, Reza& Heydari, Ali Akbar& Heydari, Aghileh. 2014. Mathematical Modeling of Transmission Dynamics and Optimal Control of Vaccination and Treatment for Hepatitis B Virus. Computational and Mathematical Methods in Medicine،Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-474530
Modern Language Association (MLA)
Kamyad, Ali Vahidian…[et al.]. Mathematical Modeling of Transmission Dynamics and Optimal Control of Vaccination and Treatment for Hepatitis B Virus. Computational and Mathematical Methods in Medicine No. 2014 (2014), pp.1-15.
https://search.emarefa.net/detail/BIM-474530
American Medical Association (AMA)
Kamyad, Ali Vahidian& Akbari, Reza& Heydari, Ali Akbar& Heydari, Aghileh. Mathematical Modeling of Transmission Dynamics and Optimal Control of Vaccination and Treatment for Hepatitis B Virus. Computational and Mathematical Methods in Medicine. 2014. Vol. 2014, no. 2014, pp.1-15.
https://search.emarefa.net/detail/BIM-474530
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-474530