title: Dynamical behavior of a hepatitis B virus transmission model with vaccination.
abstract: Hepatitis B virus (HBV) infection is a globally health problem. In 2005, the WHO Western Pacific Regional Office set a goal of reducing chronic HBV infection rate to less than 2% among children five years of age by 2012, as an interim milestone towards the final goal of less than 1%. Many countries made some plans (such as free HBV vaccination program for all neonates in China now) to control the transmission HBV. We develop a model to explore the impact of vaccination and other controlling measures of HBV infection. The model has simple dynamical behavior which has a globally asymptotically stable disease-free equilibrium when the basic reproduction number R(0)< or =1, and a globally asymptotically stable endemic equilibrium when R(0)>1. Numerical simulation results show that the vaccination is a very effective measure to control the infection and they also give some useful comments on controlling the transmission of HBV.
authors.affiliation: School of Mathematical Sciences, Nanjing Normal University, Nanjing, PR China. pjh968@126.com
authors.forename: Jianhua
authors.initials: J
authors.lastname: Pang
authors.forename: Jing-an
authors.initials: JA
authors.lastname: Cui
authors.forename: Xueyong
authors.initials: X
authors.lastname: Zhou
mesh_terms: D019353:Endemic Diseases; D006509:Hepatitis B / Q000453:epidemiology / Q000276:immunology / Q000517:prevention & control* / Q000635:transmission*; D006515:Hepatitis B virus / Q000276:immunology*; D006801:Humans; D008403:Mass Screening; D018448:Models, Immunological; D009716:Numerical Analysis, Computer-Assisted; D014611:Vaccination