The Analysis of a HBV Model with Vaccination

DOI

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.

Copyright

© 2015, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Xiaoxia Yuan
AU  - Yakui Xue
PY  - 2015/08
DA  - 2015/08
TI  - The Analysis of a HBV Model with Vaccination
BT  - Proceedings of the 2015 International Conference on Modeling, Simulation and Applied Mathematics
PB  - Atlantis Press
SP  - 246
EP  - 249
SN  - 1951-6851
UR  - https://doi.org/10.2991/msam-15.2015.56
DO  - 10.2991/msam-15.2015.56
ID  - Yuan2015/08
ER  -