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文章基本信息

  • 标题:Stabilization of nonlinear systems via aperiodic intermittent stochastic noise driven by G-Brownian motion with application to epidemic models
  • 本地全文:下载
  • 作者:Xiaojing Zhong ; Feiqi Deng ; Bo Zhang
  • 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/s13662-020-03120-y
  • 出版社:Hindawi Publishing Corporation
  • 摘要:To stabilize a nonlinear system $dx(t)=f(t,x(t)),dt$ , we stochastically perturb the deterministic model by using two types of aperiodic intermittent stochastic noise driven by G-Brownian motion. We demonstrate quasi-sure exponential stability for the perturbed system and give the convergence rate, which is related to the control intensity. An application to SIS epidemic model is presented to confirm the theoretical results.
  • 关键词:Stochastic differential equations ; Delay ; Integro-differential equations ; Split-step theta method ; Mean square exponential stability ; Convergence
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