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Asymptotic properties and simulations of a stochastic single-species dispersal model under regime switching |
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| Authors: | Li Zu Daqing Jiang Donal O’Regan |
| Affiliation: | 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 |
| 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. |
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