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  • 标题:Asymptotic Properties of a Hepatitis B Virus Infection Model with Time Delay
  • 本地全文:下载
  • 作者:Xiaohong Tian ; Rui Xu
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2010
  • 卷号:2010
  • DOI:10.1155/2010/182340
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A hepatitis B virus infection model with time delay is discussed. By analyzing the corresponding characteristic equations, the local stability of each of the feasible equilibria of the model is studied. By using comparison arguments, it is proved that if the basic reproduction ratio is less than unity, the infection-free equilibrium is globally asymptotically stable. If the basic reproduction ratio is greater than unity, by means of an iteration technique, sufficient conditions are derived for the global asymptotic stability of the virus-infected equilibrium. Numerical simulations are carried out to illustrate the theoretical results.
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