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  • 标题:Existence of traveling wave solutions with critical speed in a delayed diffusive epidemic model
  • 本地全文:下载
  • 作者:Yueling Cheng ; Dianchen Lu ; Jiangbo Zhou
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2019
  • 卷号:2019
  • 期号:1
  • 页码:1-21
  • DOI:10.1186/s13662-019-2432-6
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, we prove the existence of a critical traveling wave solution for a delayed diffusive SIR epidemic model with saturated incidence. Moreover, we establish the nonexistence of traveling wave solutions with nonpositive wave speed for this model. Our results solve some open problems left in the recent paper (Z. Xu in Nonlinear Anal. 111:66–81, 2014).
  • 关键词:SIR epidemic model ; Upper and lower solutions ; Critical traveling wave ;
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