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Abstract and Applied Analysis
Volume 2014, Article ID 427639, 10 pages
Research Article

Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine

1School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, China
2Department of Mathematics, Tonghua Normal University, Tonghua 136000, China
3School of Innovation Experiment, Dalian University of Technology, Dalian 116024, China

Received 25 March 2014; Accepted 19 May 2014; Published 12 June 2014

Academic Editor: Abdul Latif

Copyright © 2014 Yan Cheng et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


In this paper a HBV infection model with impulsive vaccination is considered. By using fixed point theorem and stroboscopic map we prove the existence of disease-free T-periodic solution. Also by comparative theorem of impulsive differential equation we get the global asymptotic stability of the disease-free periodic solution and permanence of the disease. Numerical simulations show the influence of parameters on the dynamics of HBV, which provided references for seeking optimal measures to control the transmission of HBV.