Abstract and Applied Analysis

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

Yan Cheng, Qiuhui Pan, and Mingfeng He

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Abstract

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.

Article information

Source
Abstr. Appl. Anal., Volume 2014, Special Issue (2014), Article ID 427639, 10 pages.

Dates
First available in Project Euclid: 6 October 2014

Permanent link to this document
https://projecteuclid.org/euclid.aaa/1412606023

Digital Object Identifier
doi:10.1155/2014/427639

Mathematical Reviews number (MathSciNet)
MR3224312

Zentralblatt MATH identifier
07022374

Citation

Cheng, Yan; Pan, Qiuhui; He, Mingfeng. Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine. Abstr. Appl. Anal. 2014, Special Issue (2014), Article ID 427639, 10 pages. doi:10.1155/2014/427639. https://projecteuclid.org/euclid.aaa/1412606023


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