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  • 标题:Preventing Noise-Induced Extinction in Discrete Population Models
  • 本地全文:下载
  • 作者:Irina Bashkirtseva
  • 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:2017
  • 卷号:2017
  • DOI:10.1155/2017/9610609
  • 出版社:Hindawi Publishing Corporation
  • 摘要:A problem of the analysis and prevention of noise-induced extinction in nonlinear population models is considered. For the solution of this problem, we suggest a general approach based on the stochastic sensitivity analysis. To prevent the noise-induced extinction, we construct feedback regulators which provide a low stochastic sensitivity and keep the system close to the safe equilibrium regime. For the demonstration of this approach, we apply our mathematical technique to the conceptual but quite representative Ricker-type models. A variant of the Ricker model with delay is studied along with the classic widely used one-dimensional system.
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