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  • 标题:Dynamics of a periodic impulsive switched predator-prey system with hibernation and birth pulse
  • 本地全文:下载
  • 作者:Jianjun Jiao ; Shaohong Cai ; Limei Li
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2015
  • 卷号:2015
  • 期号:1
  • 页码:174
  • DOI:10.1186/s13662-015-0460-4
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:By hibernating, animals can reduce their energy requirements by at least ninety percent and survive for many months while slowly catabolizing body lipid reserves. Hibernation constitutes an effective strategy of animals in order to survive cold environments and limited availability of food. In this work, we investigate a periodic impulsive switched predator-prey system with hibernation and birth pulse. We firstly obtain the conditions of the globally asymptotically stable prey-extinction boundary periodic solution of the investigated system. Secondly, we obtain the permanent conditions of the investigated system. Finally, numerical analysis is presented to illustrate the results. Our results provide reliable tactic basis for the practical biological economics management.
  • 关键词:hibernation ; periodic switched systems ; birth pulse ; prey-extinction ; permanence
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