Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control
An integrated pest management Gompertz model with interval impulsive control is put forward. Through pest density monitoring, an integrated control strategy is adopted; that is when pest density reaches an environmental damage level, pesticide is used as a control method; when pest density is lower...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/4294595 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832565068425854976 |
|---|---|
| author | Yuan Tian Zhantao Zhang Kaibiao Sun |
| author_facet | Yuan Tian Zhantao Zhang Kaibiao Sun |
| author_sort | Yuan Tian |
| collection | DOAJ |
| description | An integrated pest management Gompertz model with interval impulsive control is put forward. Through pest density monitoring, an integrated control strategy is adopted; that is when pest density reaches an environmental damage level, pesticide is used as a control method; when pest density is lower than the damage level, predators as its natural enemy are released in case pest density is higher than the slightly harmful level and predator density is below its maintainable level. The analysis on the existence of order-1 or order-2 periodic orbit is carried out by the construction of Poincaré map of semicontinuous dynamical system. The stability and attractiveness of the periodic state are obtained by geometry approach, which ensures a certain robustness of control. The analytical results presented in the work are validated by numerical simulations for a specific model. |
| format | Article |
| id | doaj-art-f2a7bc7e3f114058b0818e25a11e5bfa |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-f2a7bc7e3f114058b0818e25a11e5bfa2025-02-03T01:09:36ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/42945954294595Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive ControlYuan Tian0Zhantao Zhang1Kaibiao Sun2School of Information Engineering, Dalian University, Dalian 116622, ChinaSchool of Information Engineering, Dalian University, Dalian 116622, ChinaSchool of Control Science and Engineering, Dalian University of Technology, Dalian 116024, ChinaAn integrated pest management Gompertz model with interval impulsive control is put forward. Through pest density monitoring, an integrated control strategy is adopted; that is when pest density reaches an environmental damage level, pesticide is used as a control method; when pest density is lower than the damage level, predators as its natural enemy are released in case pest density is higher than the slightly harmful level and predator density is below its maintainable level. The analysis on the existence of order-1 or order-2 periodic orbit is carried out by the construction of Poincaré map of semicontinuous dynamical system. The stability and attractiveness of the periodic state are obtained by geometry approach, which ensures a certain robustness of control. The analytical results presented in the work are validated by numerical simulations for a specific model.http://dx.doi.org/10.1155/2016/4294595 |
| spellingShingle | Yuan Tian Zhantao Zhang Kaibiao Sun Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control Discrete Dynamics in Nature and Society |
| title | Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control |
| title_full | Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control |
| title_fullStr | Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control |
| title_full_unstemmed | Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control |
| title_short | Qualitative Analysis of a Pest Management Gompertz Model with Interval State Feedback Impulsive Control |
| title_sort | qualitative analysis of a pest management gompertz model with interval state feedback impulsive control |
| url | http://dx.doi.org/10.1155/2016/4294595 |
| work_keys_str_mv | AT yuantian qualitativeanalysisofapestmanagementgompertzmodelwithintervalstatefeedbackimpulsivecontrol AT zhantaozhang qualitativeanalysisofapestmanagementgompertzmodelwithintervalstatefeedbackimpulsivecontrol AT kaibiaosun qualitativeanalysisofapestmanagementgompertzmodelwithintervalstatefeedbackimpulsivecontrol |