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

doi:10.1016/S0252-9602(11)60294-4

数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (3): 1020-1034.doi: 10.1016/S0252-9602(11)60294-4

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

乔梅红^!*, 齐欢², 陈迎春³

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

收稿日期:2009-02-23 修回日期:2009-12-07 出版日期:2011-05-20 发布日期:2011-05-20
通讯作者: 乔梅红 E-mail:qiaomeihong@126.com
基金资助:
This work was supported by the Fundamental Research Funds for the Central Universities, China University of Geosciences (Wuhan) CUGL100238 and 2011CB710600 (973 Program).

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

QIAO Mei-Hong^!*, QI Huan², CHEN Ying-Chun³

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:2009-02-23 Revised:2009-12-07 Online:2011-05-20 Published:2011-05-20
Contact: Qiao Meihong E-mail:qiaomeihong@126.com
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).

摘要/Abstract

摘要：

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.

关键词: impulsive vaccination, time delay, globally asymptotical stability, persistence

Abstract:

Key words: impulsive vaccination, time delay, globally asymptotical stability, persistence

中图分类号:

37C75

乔梅红, 齐欢, 陈迎春. QUALITATIVE ANALYSIS OF HEPATITIS B VIRUS INFECTION MODEL WITH IMPULSIVE VACCINATION AND TIME DELAY[J]. 数学物理学报(英文版), 2011, 31(3): 1020-1034.

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.

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

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

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