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  • 标题:Threshold dynamics of a HCV model with virus to cell transmission in both liver with CTL immune response and the extrahepatic tissue
  • 本地全文:下载
  • 作者:Xinli Hu ; Jianquan Li ; Xiaomei Feng
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2021
  • 卷号:15
  • 期号:1
  • 页码:19-34
  • DOI:10.1080/17513758.2020.1859632
  • 出版社:Taylor & Francis
  • 摘要:In this paper, a deterministic model characterizing the within-host infection of Hepatitis C virus (HCV) in intrahepatic and extrahepatic tissues is presented. In addition, the model also includes the effect of the cytotoxic T lymphocyte (CTL) immunity described by a linear activation rate by infected cells. Firstly, the non-negativity and boundedness of solutions of the model are established. Secondly, the basic reproduction number R 01 and immune reproduction number R 02 are calculated, respectively. Three equilibria, namely, infection-free, CTL immune response-free and infected equilibrium with CTL immune response are discussed in terms of these two thresholds. Thirdly, the stability of these three equilibria is investigated theoretically as well as numerically. The results show that when R 01 1 , both of the virus and the CTL immune response persist within the host. Finally, a brief discussion will be given.
  • 关键词:Virus to cell infection intrahepatic compartment extrahepatic compartment CTL immune response global stability
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