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  • 标题:Dynamics analysis of a delayed virus model with two different transmission methods and treatments
  • 本地全文:下载
  • 作者:Tongqian Zhang ; Junling Wang ; Yuqing Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-17
  • DOI:10.1186/s13662-019-2438-0
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, a delayed virus model with two different transmission methods and treatments is investigated. This model is a time-delayed version of the model in (Zhang et al. in Comput. Math. Methods Med. 2015:758362, 2015). We show that the virus-free equilibrium is locally asymptotically stable if the basic reproduction number is smaller than one, and by regarding the time delay as a bifurcation parameter, the existence of local Hopf bifurcation is investigated. The results show that time delay can change the stability of the endemic equilibrium. Finally, we give some numerical simulations to illustrate the theoretical findings.
  • 关键词:Cell-to-cell transmission ; Delayed virus model ; Treatment ; Hopf bifurcation ;
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