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  • 标题:The stability and bifurcation analysis of a discrete Holling-Tanner model
  • 本地全文:下载
  • 作者:Hui Cao ; Zongmin Yue ; Yicang 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:2013
  • 卷号:2013
  • 期号:1
  • 页码:330
  • DOI:10.1186/1687-1847-2013-330
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A discrete predator-prey model with Holling-Tanner functional response is formulated and studied. The existence of the positive equilibrium and its stability are investigated. More attention is paid to the existence of a flip bifurcation and a Neimark-Sacker bifurcation. Sufficient conditions for those bifurcations have been obtained. Numerical simulations are conducted to demonstrate our theoretical results and the complexity of the model.
  • 关键词:discrete Holling-Tanner model ; flip bifurcation ; Neimark-Sacker bifurcation ; stability
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