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  • 标题:Dynamics of a delayed SEIRS-V model on the transmission of worms in a wireless sensor network
  • 本地全文:下载
  • 作者:Zizhen Zhang ; Fengshan Si
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2014
  • 卷号:2014
  • 期号:1
  • 页码:295
  • DOI:10.1186/1687-1847-2014-295
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A delayed SEIRS-V model on the transmission of worms in a wireless sensor network is considered. Choosing delay as a bifurcation parameter, the existence of the Hopf bifurcation of the model is investigated. Furthermore, we use the normal form method and the center manifold theorem to determine the direction of the Hopf bifurcation and the stability of the bifurcated periodic solutions. Finally, some numerical simulations are presented to verify the theoretical results.
  • 关键词:Hopf bifurcation ; delay ; SEIRS-V model ; stability ; periodic solution ; wireless sensor network
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