Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics

The Analysis of a HBV Model with Vaccination

Authors
Xiaoxia Yuan, Yakui Xue
Corresponding Author
Xiaoxia Yuan
Available Online August 2015.
DOI
https://doi.org/10.2991/msam-15.2015.56How to use a DOI?
Keywords
hepatitis b virus; basic reproduction number; globally asymptotical stable
Abstract
In this paper, we introduce an improved hepatitis B virus(HBV) model to discuss the impact of vaccination. The basic reproductive number determine the extinction and the persistence of virus infection.When is less than one,the disease-free equilibrium is globally-asymptotically stable and the infection becomes extinct eventually;When is greater than one,the unique endemic equilibrium exists and endemic equilibrium is locally asymptotically.The results indicate that vaccination plays an importment role in preventing and controlling the spread of HBV.
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Proceedings
2015 International Conference on Modeling, Simulation and Applied Mathematics
Part of series
Advances in Intelligent Systems Research
Publication Date
August 2015
ISBN
978-94-6252-104-9
ISSN
1951-6851
DOI
https://doi.org/10.2991/msam-15.2015.56How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Xiaoxia Yuan
AU  - Yakui Xue
PY  - 2015/08
DA  - 2015/08
TI  - The Analysis of a HBV Model with Vaccination
BT  - 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.56
DO  - https://doi.org/10.2991/msam-15.2015.56
ID  - Yuan2015/08
ER  -