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  • 标题:A generalized virus dynamics model with cell-to-cell transmission and cure rate
  • 本地全文:下载
  • 作者:Khalid Hattaf ; Noura Yousfi
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2016
  • 卷号:2016
  • 期号:1
  • 页码:174
  • DOI:10.1186/s13662-016-0906-3
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Viruses can be spread and transmitted through two fundamental modes, one by virus-to-cell infection and the other by direct cell-to-cell transmission. In this paper, we propose a new generalized virus dynamics model, which incorporates both modes and takes into account the cure of infected cells. We first show mathematically and biologically the well-posedness of our model. Further, an explicit formula for the basic reproduction number R 0 $R_($ of the model is determined. By analyzing the characteristic equations we establish the local stability of the disease-free equilibrium and the chronic infection equilibrium in terms of R 0 $R_($ . The global behavior of the model is investigated by constructing an appropriate Lyapunov functional for disease-free equilibrium and by applying geometrical approach to chronic infection equilibrium. Moreover, mathematical virus models and results presented in many previous studies are generalized and improved.
  • 关键词:virus dynamics ; cell-to-cell transmission ; compound matrices ; global stability
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