Modelling and Analysis of a Pest-Control Pollution Model with Integrated Control Tactics
A hybrid impulsive pest control model with stage structure for pest and Holling II functional response is proposed and investigated, in which the effects of impulsive pesticide input in the environment and in the organism are considered. Sufficient conditions for global attractiveness of the pest-ex...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2010-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/962639 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| Summary: | A hybrid impulsive pest control model with stage structure for pest and Holling
II functional response is proposed and investigated, in which the effects of impulsive pesticide
input in the environment and in the organism are considered. Sufficient conditions for global
attractiveness of the pest-extinction periodic solution and permanence of the system are obtained,
which show that there exists a globally asymptotically stable pest-extinction periodic
solution when the number of natural enemies released is more than some critical value, whereas
the system can be permanent when the number of natural enemies released is less than another
critical value. Furthermore, numerical simulations are carried out to illustrate our theoretical
results and facilitate their interpretation. |
|---|---|
| ISSN: | 1026-0226 1607-887X |