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

被引：6
|
作者：
Qiao Meihong [1 ]
Qi Huan [2 ]
Chen Yingchun [3 ]
机构：
[1] China Univ Geosci, Sch Math & Phys, Wuhan 430074, Peoples R China
[2] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[3] Natl Key Lab Def Sci & Technol Acoust Countermeas, Zhanjiang Branch, Zhanjiang 524022, Peoples R China
来源：
ACTA MATHEMATICA SCIENTIA | 2011年 / 31卷 / 03期
关键词：
impulsive vaccination; time delay; globally asymptotical stability; persistence; EPIDEMIC MODEL;
D O I：
10.1016/S0252-9602(11)60294-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
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.
引用
收藏
页码：1020 / 1034
页数：15
相关论文
共 50 条
  • [21] Response to Hepatitis B Vaccination in Patients with Chronic Hepatitis C Virus Infection
    Ashhab, Ashraf
    Rodin, Holly
    Hall, Jane
    Powell, Jesse
    Debes, Jose D.
    HEPATOLOGY, 2018, 68 : 585A - 585A
  • [22] Response to Hepatitis B Vaccination in Patients With Chronic Hepatitis C Virus Infection
    Ashhab, Ashraf
    Rodin, Holly
    Hall, Jane A.
    Powell, Jesse
    Debes, Jose D.
    AMERICAN JOURNAL OF GASTROENTEROLOGY, 2018, 113 : S510 - S511
  • [23] Antibody response to hepatitis B virus vaccination in individuals with hepatitis C virus infection - Reply
    Wiedmann, M
    Schiefke, I
    Caca, K
    Berr, F
    HEPATOLOGY, 2000, 32 (02) : 445 - 445
  • [24] Dynamics on Hepatitis B Virus Infection In Vivo with Interval Delay
    Zhong, Haonan
    Wang, Kaifa
    SIAM JOURNAL ON APPLIED DYNAMICAL SYSTEMS, 2024, 23 (01): : 205 - 235
  • [25] Impulsive vaccination of an SEIRS model with time delay and varying total population size
    Gao, Shujing
    Chen, Lansun
    Teng, Zhidong
    BULLETIN OF MATHEMATICAL BIOLOGY, 2007, 69 (02) : 731 - 745
  • [26] Impulsive Vaccination of an SEIRS Model with Time Delay and Varying Total Population Size
    Shujing Gao
    Lansun Chen
    Zhidong Teng
    Bulletin of Mathematical Biology, 2007, 69 : 731 - 745
  • [27] Impulsive vaccination of SEIR epidemic model with time delay and nonlinear incidence rate
    Zhao, Zhong
    Chen, Lansun
    Song, Xinyu
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2008, 79 (03) : 500 - 510
  • [28] A dynamic model for the hepatitis B virus infection
    Long, Changjiang
    Qi, Huan
    Huang, Sheng-He
    WMSCI 2006: 10TH WORLD MULTI-CONFERENCE ON SYSTEMICS, CYBERNETICS AND INFORMATICS, VOL IV, PROCEEDINGS, 2006, : 195 - +
  • [29] The Chimpanzee Model for Hepatitis B Virus Infection
    Wieland, Stefan F.
    COLD SPRING HARBOR PERSPECTIVES IN MEDICINE, 2015, 5 (06): : 1 - 19
  • [30] A dynamic model for the hepatitis B virus infection
    Qi, Huan
    Long, Changjiang
    Yang, Dongliang
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES B-APPLICATIONS & ALGORITHMS, 2006, 13 : 693 - 697
12345