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  • 标题:Analysis of a Dengue Disease Model with Nonlinear Incidence
  • 本地全文:下载
  • 作者:Shu-Min Guo ; Xue-Zhi Li ; Mini Ghosh
  • 期刊名称:Discrete Dynamics in Nature and Society
  • 印刷版ISSN:1026-0226
  • 电子版ISSN:1607-887X
  • 出版年度:2013
  • 卷号:2013
  • DOI:10.1155/2013/320581
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A dengue disease epidemic model with nonlinear incidence is formulated and analyzed. The equilibria and threshold of the model are found. The stability of the system is analyzed through a geometric approach to stability. The proposed model also exhibits backward bifurcation under suitable conditions on parameters. Our results imply that a nonlinear incidence produces rich dynamics and they should be studied carefully in order to analyze the spread of disease more accurately. Finally, numerical simulations are presented to illustrate the analytical findings.
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