Asymptotic properties and simulations of a stochastic single-species dispersal model under regime switching

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• 作者：Li Zu ; Daqing Jiang ; Donal O’Regan
• 关键词：Stochastic permanence ; Persistent in mean ; Extinction ; Environment noise ; 34F05 ; 34E10 ; 60H10 ; 60H20
• 刊名：Journal of Applied Mathematics and Computing
• 出版年：2013
• 出版时间：October 2013
• 年：2013
• 卷：43
• 期：1-2
• 页码：387-407
• 全文大小：1415KB
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• 作者单位：Li Zu (1) (2)
  Daqing Jiang (1)
  Donal O’Regan (3)
  
  1. School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P.R. China
  2. School of Science, Changchun University, Changchun, 130022, P.R. China
  3. School of Mathematics, Statistics and Applied Mathematics, National University of Ireland, Galway, Ireland
  
• ISSN：1865-2085

文摘

Taking both white noise and colored environmental noise into account, a single-species logistic model with population’s nonlinear diffusion among two patches is proposed and investigated. The sufficient conditions of the existence of positive solutions, stochastic permanence, persistence in mean and extinction are established. Moreover, we use an example and simulation figures to illustrate our main results.