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  • 标题:A stochastic prey-predator model with time-dependent delays
  • 本地全文:下载
  • 作者:Xiangjun Dai ; Zhi Mao ; Xiaojun 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:2017
  • 卷号:2017
  • 期号:1
  • 页码:297
  • DOI:10.1186/s13662-017-1321-0
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A stochastic predator-prey system with time-dependent delays is considered. Firstly, we show the existence of a global positive solution and stochastically ultimate boundedness. Secondly, the critical value between weak persistence and extinction of the prey is obtained and we also give the asymptotic pathwise estimation. Finally, we simulate the model to illustrate our results.
  • 关键词:prey-predator system ; time-dependent delays ; stochastically ultimate bounded ; persistence ; extinction
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