| Title:
|
Almost sufficient and necessary conditions for permanence and extinction of nonautonomous discrete logistic systems with time-varying delays and feedback control (English) |
| Author:
|
Xu, Jiabo |
| Author:
|
Teng, Zhidong |
| Author:
|
Gao, Shujing |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
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56 |
| Issue:
|
2 |
| Year:
|
2011 |
| Pages:
|
207-225 |
| Summary lang:
|
English |
| . |
| Category:
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math |
| . |
| Summary:
|
A class of nonautonomous discrete logistic single-species systems with time-varying pure-delays and feedback control is studied. By introducing a new research method, almost sufficient and necessary conditions for the permanence and extinction of species are obtained. Particularly, when the system degenerates into a periodic system, sufficient and necessary conditions on the permanence and extinction of species are obtained. Moreover, a very important fact is found in our results, that is, the feedback control and delays are harmless for the permanence and extinction of species for discrete single-species systems. This shows that in a discrete single-species system introducing the feedback control to factitiously control the permanence and extinction of species is useless. (English) |
| Keyword:
|
discrete system |
| Keyword:
|
permanence |
| Keyword:
|
extinction |
| Keyword:
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feedback control |
| Keyword:
|
time-varying delay |
| MSC:
|
39A22 |
| MSC:
|
39A30 |
| MSC:
|
92D25 |
| MSC:
|
93B52 |
| idZBL:
|
Zbl 1223.92051 |
| idMR:
|
MR2810244 |
| DOI:
|
10.1007/s10492-011-0003-6 |
| . |
| Date available:
|
2011-03-26T21:03:02Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/141439 |
| . |
| Reference:
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