Journal of Applied Mathematics and Computing

, Volume 43, Issue 1–2, pp 387–407

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

Original Research


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.


Stochastic permanence Persistent in mean Extinction Environment noise 

Mathematics Subject Classification

34F05 34E10 60H10 60H20 

Copyright information

© Korean Society for Computational and Applied Mathematics 2013

Authors and Affiliations

  1. 1.School of Mathematics and StatisticsNortheast Normal UniversityChangchunP.R. China
  2. 2.School of ScienceChangchun UniversityChangchunP.R. China
  3. 3.School of Mathematics, Statistics and Applied MathematicsNational University of IrelandGalwayIreland

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