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  • 标题:A fractional order SIR epidemic model with nonlinear incidence rate
  • 本地全文:下载
  • 作者:Abderrahim Mouaouine ; Adnane Boukhouima ; Khalid Hattaf
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2018
  • 卷号:2018
  • 期号:1
  • 页码:160
  • DOI:10.1186/s13662-018-1613-z
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In this paper, a fractional order SIR epidemic model with nonlinear incidence rate is presented and analyzed. First, we prove the global existence, positivity, and boundedness of solutions. The equilibria are calculated and their stability is investigated. Finally, numerical simulations are presented to illustrate our theoretical results.
  • 关键词:SIR epidemic model ; Nonlinear incidence rate ; Caputo fractional derivative ; Equilibrium ; Stability
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