| Title:
|
Population dynamical behavior of a single-species nonlinear diffusion system with random perturbation (English) |
| Author:
|
Zu, Li |
| Author:
|
Jiang, Daqing |
| Author:
|
O'Regan, Donal |
| Language:
|
English |
| Journal:
|
Czechoslovak Mathematical Journal |
| ISSN:
|
0011-4642 (print) |
| ISSN:
|
1572-9141 (online) |
| Volume:
|
67 |
| Issue:
|
4 |
| Year:
|
2017 |
| Pages:
|
867-890 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
stochastic permanence |
| Keyword:
|
persistent in mean |
| Keyword:
|
extinction |
| Keyword:
|
stationary distribution |
| MSC:
|
34F05 |
| MSC:
|
92D25 |
| idZBL:
|
Zbl 06819561 |
| idMR:
|
MR3736007 |
| DOI:
|
10.21136/CMJ.2017.0350-15 |
| . |
| Date available:
|
2017-11-20T14:51:24Z |
| Last updated:
|
2020-07-03 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/146954 |
| . |
| Reference:
|
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