| Title:
|
Existence and global attractivity of positive periodic solutions for a delayed competitive system with the effect of toxic substances and impulses (English) |
| Author:
|
Xu, Changjin |
| Author:
|
Zhang, Qianhong |
| Author:
|
Liao, Maoxin |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
58 |
| Issue:
|
3 |
| Year:
|
2013 |
| Pages:
|
309-328 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, a class of non-autonomous delayed competitive systems with the effect of toxic substances and impulses is considered. By using the continuation theorem of coincidence degree theory, we derive a set of easily verifiable sufficient conditions that guarantees the existence of at least one positive periodic solution, and by constructing a suitable Lyapunov functional, the uniqueness and global attractivity of the positive periodic solution are established. (English) |
| Keyword:
|
competitive system |
| Keyword:
|
toxic substance |
| Keyword:
|
periodic solution |
| Keyword:
|
impulse |
| Keyword:
|
coincidence degree theory |
| MSC:
|
34K13 |
| MSC:
|
34K20 |
| MSC:
|
34K25 |
| MSC:
|
34K45 |
| MSC:
|
92D40 |
| idZBL:
|
Zbl 06221233 |
| idMR:
|
MR3066823 |
| DOI:
|
10.1007/s10492-013-0015-5 |
| . |
| Date available:
|
2013-05-17T10:44:48Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/143280 |
| . |
| Reference:
|
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