Stochastic Permanence, Stationary Distribution and Extinction of a Single-Species Nonlinear Diffusion System with Random Perturbation

Figure 1

The pictures on the left are the solutions of stochastic system (73) and the corresponding undisturbed system, and the blue lines and the black lines represent them, respectively. The middle of the subgraphs is the histogram of stochastic system (73) and the subgraphs on the right are normal quantile-quantile plots of the values of the paths 𝑥₁(𝑡) and 𝑥₂(𝑡). The stochastic system is stochastically permanent and has a stationary distribution. 𝜎₁=0.1, 𝜎₂=0.09.

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