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

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

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 dis...

Full description

Bibliographic Details
Main Authors: Yan Cheng, Qiuhui Pan, Mingfeng He
Format: Article
Language:English
Published: Hindawi Limited 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/427639
id doaj-51aa5070f6b0445eaf42ff4131036699
record_format Article
spelling doaj-51aa5070f6b0445eaf42ff41310366992020-11-24T22:13:28ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/427639427639Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB VaccineYan Cheng0Qiuhui Pan1Mingfeng He2School of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian 116024, ChinaIn 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.http://dx.doi.org/10.1155/2014/427639
collection DOAJ
language English
format Article
sources DOAJ
author Yan Cheng
Qiuhui Pan
Mingfeng He
spellingShingle Yan Cheng
Qiuhui Pan
Mingfeng He
Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine
Abstract and Applied Analysis
author_facet Yan Cheng
Qiuhui Pan
Mingfeng He
author_sort Yan Cheng
title Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine
title_short Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine
title_full Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine
title_fullStr Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine
title_full_unstemmed Stability Analysis of Hepatitis B Virus Model with Incomplete Immunization of HepB Vaccine
title_sort stability analysis of hepatitis b virus model with incomplete immunization of hepb vaccine
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2014-01-01
description 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.
url http://dx.doi.org/10.1155/2014/427639
work_keys_str_mv AT yancheng stabilityanalysisofhepatitisbvirusmodelwithincompleteimmunizationofhepbvaccine
AT qiuhuipan stabilityanalysisofhepatitisbvirusmodelwithincompleteimmunizationofhepbvaccine
AT mingfenghe stabilityanalysisofhepatitisbvirusmodelwithincompleteimmunizationofhepbvaccine
_version_ 1725800936830402560

Similar Items