Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting
We formulate a pest management model with periodically releasing infective pests, immature and mature natural enemies, and harvesting pests and crops at two different fixed moments. Sufficient conditions ensuring the locally and globally asymptotical stability of the susceptible pest-eradication per...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/832701 |
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| _version_ | 1832558043698561024 |
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| author | Jiangtao Yang Zhichun Yang |
| author_facet | Jiangtao Yang Zhichun Yang |
| author_sort | Jiangtao Yang |
| collection | DOAJ |
| description | We formulate a pest management model with periodically releasing infective pests, immature and mature natural enemies, and harvesting pests and crops at two different fixed moments. Sufficient conditions ensuring the locally and globally asymptotical stability of the susceptible pest-eradication period solution are found by means of Floquet theory, small amplitude perturbation techniques, and multicomparison results. Furthermore, the permanence of system is also derived. By numerical analysis, we also show that impulsive releasing and harvesting at two different fixed moments can bring obvious effects on the dynamics of system, which also corroborates our theoretical results. |
| format | Article |
| id | doaj-art-77e74352f7ed484eb9b6cce283b6b8ef |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-77e74352f7ed484eb9b6cce283b6b8ef2025-02-03T01:33:25ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/832701832701Stability and Permanence of a Pest Management Model with Impulsive Releasing and HarvestingJiangtao Yang0Zhichun Yang1Department of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaDepartment of Mathematics, Chongqing Normal University, Chongqing 400047, ChinaWe formulate a pest management model with periodically releasing infective pests, immature and mature natural enemies, and harvesting pests and crops at two different fixed moments. Sufficient conditions ensuring the locally and globally asymptotical stability of the susceptible pest-eradication period solution are found by means of Floquet theory, small amplitude perturbation techniques, and multicomparison results. Furthermore, the permanence of system is also derived. By numerical analysis, we also show that impulsive releasing and harvesting at two different fixed moments can bring obvious effects on the dynamics of system, which also corroborates our theoretical results.http://dx.doi.org/10.1155/2013/832701 |
| spellingShingle | Jiangtao Yang Zhichun Yang Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting Abstract and Applied Analysis |
| title | Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting |
| title_full | Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting |
| title_fullStr | Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting |
| title_full_unstemmed | Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting |
| title_short | Stability and Permanence of a Pest Management Model with Impulsive Releasing and Harvesting |
| title_sort | stability and permanence of a pest management model with impulsive releasing and harvesting |
| url | http://dx.doi.org/10.1155/2013/832701 |
| work_keys_str_mv | AT jiangtaoyang stabilityandpermanenceofapestmanagementmodelwithimpulsivereleasingandharvesting AT zhichunyang stabilityandpermanenceofapestmanagementmodelwithimpulsivereleasingandharvesting |