Articles

QUALITATIVE ANALYSIS OF HEPATITIS B VIRUS INFECTION MODEL WITH IMPULSIVE VACCINATION AND TIME DELAY

  • QIAO Mei-Hong ,
  • QI Huan ,
  • CHEN Ying-Chun
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  • 1. School of Mathematics and Physics, China University of Geoscience, Wuhan 430074, China;
    2. Department of Control Science $\&$ Engineering, |Huazhong University of Science &|Technology, Wuhan 430074,  China;
    3. National Key Lab of Defence Science and Technology on Acoustic Countermeasure, Zhanjiang Branch, Zhanjiang 524022, China

Received date: 2009-02-23

  Revised date: 2009-12-07

  Online published: 2011-05-20

Supported by

This work was supported by the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) CUGL100238 and 2011CB710600 (973 Program).

Abstract

According to the epidemic state, propagation mode and transformation between HBV infection states, the Hepatitis B Virus (HBV) infection with impulsive vaccination and time delay  are modelled and analyzed. The control methods of impulsive vaccination and active therapy are adopted. By using comparative theorem of impulsive differential equation, the sufficient conditions that Hepatitis B Virus will be eliminated eventually or be persistent are derived.

Cite this article

QIAO Mei-Hong , QI Huan , CHEN Ying-Chun . QUALITATIVE ANALYSIS OF HEPATITIS B VIRUS INFECTION MODEL WITH IMPULSIVE VACCINATION AND TIME DELAY[J]. Acta mathematica scientia, Series B, 2011 , 31(3) : 1020 -1034 . DOI: 10.1016/S0252-9602(11)60294-4

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