Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation

Czechoslovak Mathematical Journal

Li Zu, Daqing Jiang, Donal O'Regan¹ 

关键词: stochastic permanence;    persistent in mean;    extinction;    stationary distribution;   

DOI  :  10.21136/CMJ.2017.0350-15

学科分类：数学（综合）

来源: Akademie Ved Ceske Republiky

【 摘 要 】

  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.

【 授权许可】

Unknown