Paper Info
Title
Mathematical Modeling of Transmission Dynamics and Optimal Control of Vaccination and Treatment for Hepatitis B Virus.
Abstract
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.
Year
DOI
Venue
2014
10.1155/2014/475451
COMPUTATIONAL AND MATHEMATICAL METHODS IN MEDICINE
Keywords
Field
DocType
vaccination,algorithms,computational biology,interleukin 1
Transmission (mechanics),Hepatitis B virus,Optimal control,Immunology,Biology,Vaccination,Hepatitis B,Basic reproduction number,Virology,Viral Hepatitis Vaccines
Journal
Volume
ISSN
Citations 
2014
1748-670X
0
PageRank 
References 
Authors
0.34
5
4
Name
Order
Citations
PageRank
Ali Vahidian Kamyad111010.26
Reza Akbari21716.92
Ali Akbar Heydari350.89
Aghileh Heydari4203.58