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  • 标题:Markov switched stochastic Nicholson-type delay system with patch structure
  • 本地全文:下载
  • 作者:Wentao Wang ; Guifeng Deng ; Wei Chen
  • 期刊名称:Advances in Difference Equations
  • 印刷版ISSN:1687-1839
  • 电子版ISSN:1687-1847
  • 出版年度:2020
  • 卷号:2020
  • 期号:1
  • 页码:1-12
  • DOI:10.1186/s13662-020-02721-x
  • 出版社:Hindawi Publishing Corporation
  • 摘要:Considering stochastic perturbations of white and color noises, we introduce the Markov switched stochastic Nicholson-type delay system with patch structure. By constructing a traditional Lyapunov function we show that solutions of the addressed system are not only positive, but also do not explode to infinity in finite time and, in fact, are ultimately bounded. Then we estimate its ultimate boundedness, moment, and Lyapunov exponent. Finally, we present an example of numerical simulations to verify theoretical results.
  • 关键词:Nicholson-type delay system;Markov switching;Ultimate boundedness;Lyapunov exponent;
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