Abstract
We consider a single-species stochastic logistic model with the population’s nonlinear diffusion between two patches. We prove the system is stochastically permanent and persistent in mean, and then we obtain sufficient conditions for stationary distribution and extinction. Finally, we illustrate our conclusions through numerical simulation.
Original language | English |
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Pages (from-to) | 867-890 |
Number of pages | 24 |
Journal | Czechoslovak Mathematical Journal |
Volume | 67 |
Issue number | 4 |
DOIs | |
Publication status | Published - 1 Dec 2017 |
Keywords
- extinction
- persistent in mean
- stationary distribution
- stochastic permanence