Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management
The switching discrete prey-predator model concerning integrated pest management has been proposed, and the switches are guided by the economic threshold (ET). To begin with, the regular and virtual equilibria of switching system have been discussed and the key parameter bifurcation diagrams for the...
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/10.1155/2016/8627613 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832555397501681664 |
|---|---|
| author | Changcheng Xiang Yi Yang Zhongyi Xiang Wenjie Qin |
| author_facet | Changcheng Xiang Yi Yang Zhongyi Xiang Wenjie Qin |
| author_sort | Changcheng Xiang |
| collection | DOAJ |
| description | The switching discrete prey-predator model concerning integrated pest management has been proposed, and the switches are guided by the economic threshold (ET). To begin with, the regular and virtual equilibria of switching system have been discussed and the key parameter bifurcation diagrams for the existence of equilibria have been proposed, which reveal the three different regions of equilibria. Besides, numerical bifurcation analyses show that the switching discrete system may have complicated dynamics behavior including chaos and the coexistence of multiple attractors. Finally, the effects of key parameters on the switching frequencies and switching times are discussed and the sensitivity analysis of varying parameter values for mean switching times has also been given. The results proved that economic threshold (ET) and the growth rate (α) were the key parameters for pest control. |
| format | Article |
| id | doaj-art-ddeb1a0eedda4b8eade5fdd709056bfc |
| 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-ddeb1a0eedda4b8eade5fdd709056bfc2025-02-03T05:48:19ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/86276138627613Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest ManagementChangcheng Xiang0Yi Yang1Zhongyi Xiang2Wenjie Qin3Key Laboratory of Biologic Resources Protection and Utilization, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaKey Laboratory of Biologic Resources Protection and Utilization, Hubei University for Nationalities, Enshi, Hubei 445000, ChinaCollege of Science, China Three Gorges University, Yichang 443002, ChinaThe switching discrete prey-predator model concerning integrated pest management has been proposed, and the switches are guided by the economic threshold (ET). To begin with, the regular and virtual equilibria of switching system have been discussed and the key parameter bifurcation diagrams for the existence of equilibria have been proposed, which reveal the three different regions of equilibria. Besides, numerical bifurcation analyses show that the switching discrete system may have complicated dynamics behavior including chaos and the coexistence of multiple attractors. Finally, the effects of key parameters on the switching frequencies and switching times are discussed and the sensitivity analysis of varying parameter values for mean switching times has also been given. The results proved that economic threshold (ET) and the growth rate (α) were the key parameters for pest control.http://dx.doi.org/10.1155/2016/8627613 |
| spellingShingle | Changcheng Xiang Yi Yang Zhongyi Xiang Wenjie Qin Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management Discrete Dynamics in Nature and Society |
| title | Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management |
| title_full | Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management |
| title_fullStr | Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management |
| title_full_unstemmed | Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management |
| title_short | Numerical Analysis of Discrete Switching Prey-Predator Model for Integrated Pest Management |
| title_sort | numerical analysis of discrete switching prey predator model for integrated pest management |
| url | http://dx.doi.org/10.1155/2016/8627613 |
| work_keys_str_mv | AT changchengxiang numericalanalysisofdiscreteswitchingpreypredatormodelforintegratedpestmanagement AT yiyang numericalanalysisofdiscreteswitchingpreypredatormodelforintegratedpestmanagement AT zhongyixiang numericalanalysisofdiscreteswitchingpreypredatormodelforintegratedpestmanagement AT wenjieqin numericalanalysisofdiscreteswitchingpreypredatormodelforintegratedpestmanagement |