Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation (Q1723862)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation |
scientific article; zbMATH DE number 7022164
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation |
scientific article; zbMATH DE number 7022164 |
Statements
Stochastic permanence, stationary distribution and extinction of a single-species nonlinear diffusion system with random perturbation (English)
0 references
14 February 2019
0 references
Summary: We analyze the influence of stochastic perturbations on a single-species logistic model with the population's nonlinear diffusion among \(n\) patches. First, we show that this system has a unique positive solution. Then we obtain sufficient conditions for stochastic permanence and persistence in mean, stationary distribution, and extinction. Finally, we illustrate our conclusions through numerical simulation.
0 references
0 references
0 references
0 references
0 references
0 references
