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  • 标题:Asymptotic behavior and numerical simulations of a Lotka-Volterra mutualism system with white noises
  • 本地全文:下载
  • 作者:Shengliang Guo ; Yijun Hu
  • 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:125
  • DOI:10.1186/s13662-017-1171-9
  • 语种:English
  • 出版社:Hindawi Publishing Corporation
  • 摘要:In the present paper, a stochastic mutualism model subject to white noises is established. We first investigate the existence and uniqueness of globally positive solution of the stochastic model. Then we study its asymptotic behavior, such as stochastic permanence and extinction, and estimate the limit of the average in time of the sample paths of every component. We also show that the stochastic system is globally attractive under some appropriate conditions. Finally, numerical simulations are presented to justify the analytical results.
  • 关键词:mutualism system ; white noise ; stochastic permanence ; extinction ; global attractivity
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