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  • 标题:A scaling analysis in the SIRI epidemiological model
  • 本地全文:下载
  • 作者:José Martins ; Alberto Pinto ; Nico Stollenwerk
  • 期刊名称:Journal of Biological Dynamics
  • 印刷版ISSN:1751-3758
  • 电子版ISSN:1751-3766
  • 出版年度:2009
  • 卷号:3
  • 期号:5
  • 页码:479-496
  • DOI:10.1080/17513750802601058
  • 出版社:Taylor & Francis
  • 摘要:For the spatial stochastic epidemic reinfection model SIRI, where susceptibles S can become infected I , then recover and remain only partial immune against reinfection R , we determine the phase transition lines using pair approximation for the moments derived from the master equation. We introduce a scaling argument that allows us to determine analytically an explicit formula for these phase transition lines and prove rigorously the heuristic results obtained previously.
  • 关键词:stochastic processes ; reinfection model ; pair approximation ; phase transition lines
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