Journal of Applied Mathematics and Computing

, Volume 43, Issue 1, pp 387–407

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

Original Research

DOI: 10.1007/s12190-013-0669-x

Cite this article as:
Zu, L., Jiang, D. & O’Regan, D. J. Appl. Math. Comput. (2013) 43: 387. doi:10.1007/s12190-013-0669-x

Abstract

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.

Keywords

Stochastic permanencePersistent in meanExtinctionEnvironment noise

Mathematics Subject Classification

34F0534E1060H1060H20

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