| Title:
|
Persistence and extinction of a stochastic delay predator-prey model under regime switching (English) |
| Author:
|
Liu, Zhen Hai |
| Author:
|
Liu, Qun |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
59 |
| Issue:
|
3 |
| Year:
|
2014 |
| Pages:
|
331-343 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper is concerned with a stochastic delay predator-prey model under regime switching. Sufficient conditions for extinction and non-persistence in the mean of the system are established. The threshold between persistence and extinction is also obtained for each population. Some numerical simulations are introduced to support our main results. (English) |
| Keyword:
|
persistence |
| Keyword:
|
extinction |
| Keyword:
|
Markov switching |
| Keyword:
|
delay |
| Keyword:
|
stochastic perturbations |
| MSC:
|
34B16 |
| MSC:
|
34C25 |
| MSC:
|
34K25 |
| MSC:
|
34K50 |
| MSC:
|
60H10 |
| MSC:
|
60J25 |
| MSC:
|
92D25 |
| idZBL:
|
Zbl 06362230 |
| idMR:
|
MR3232634 |
| DOI:
|
10.1007/s10492-014-0058-2 |
| . |
| Date available:
|
2014-05-20T07:40:37Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143776 |
| . |
| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
|
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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| Reference:
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