| Title:
|
The dynamic behaviors of a new impulsive predator prey model with impulsive control at different fixed moments (English) |
| Author:
|
Wang, Lin Jun |
| Author:
|
Xie, You Xiang |
| Author:
|
Deng, Qi Cheng |
| Language:
|
English |
| Journal:
|
Kybernetika |
| ISSN:
|
0023-5954 (print) |
| ISSN:
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1805-949X (online) |
| Volume:
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54 |
| Issue:
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3 |
| Year:
|
2018 |
| Pages:
|
522-541 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper, we propose a new impulsive predator prey model with impulsive control at different fixed moments and analyze its interesting dynamic behaviors. Sufficient conditions for the globally asymptotical stability of the semi-trivial periodic solution and the permanence of the present model are obtained by Floquet theory of impulsive differential equation and small amplitude perturbation skills. Existences of the "infection-free" periodic solution and the "predator-free" solution are analyzed by bifurcation theory of impulsive differential equation. Finally, the analytical results presented in the work are validated by numerical simulation figures for this proposed model. (English) |
| Keyword:
|
impulsive differential equation |
| Keyword:
|
bifurcation theory |
| Keyword:
|
stability |
| Keyword:
|
impulsive control |
| Keyword:
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persistence and extinction |
| MSC:
|
34D23 |
| MSC:
|
92D30 |
| idZBL:
|
Zbl 06987020 |
| idMR:
|
MR3844830 |
| DOI:
|
10.14736/kyb-2018-3-0522 |
| . |
| Date available:
|
2018-11-02T10:13:22Z |
| Last updated:
|
2020-01-05 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/147434 |
| . |
| Reference:
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