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Keywords:
stochastic permanence; persistent in mean; extinction; stationary distribution
stochastic permanence; persistent in mean; extinction; stationary distribution
Summary:
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.
References:
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