Optimal Control Policies of Pests for Hybrid Dynamical Systems
We improve the traditional integrated pest management (IPM) control strategies and formulate three specific management strategies, which can be described by hybrid dynamical systems. These strategies can not only effectively control pests but also reduce the abuse of pesticides and protect the natur...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/574541 |
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| author | Baolin Kang Mingfeng He Bing Liu |
| author_facet | Baolin Kang Mingfeng He Bing Liu |
| author_sort | Baolin Kang |
| collection | DOAJ |
| description | We improve the traditional integrated pest management (IPM) control strategies and formulate three specific management strategies, which can be described by hybrid dynamical systems. These strategies can not only effectively control pests but also reduce the abuse of pesticides and protect the natural enemies. The aim of this work is to study how the factors, such as natural enemies optimum choice in the two kinds of different pests, timings of natural enemy releases, dosages and timings of insecticide applications, and instantaneous killing rates of pesticides on both pests and natural enemies, can affect the success of IPM control programmes. The results indicate that the pests outbreak period or frequency largely depends on the optimal selective feeding of the natural enemy between one of the pests and the control tactics. Ultimately, we obtain the only pest needs to be controlled below a certain threshold while not supervising pest . |
| format | Article |
| id | doaj-art-bd60017b4e314a9eb0a78725eb038652 |
| institution | DOAJ |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bd60017b4e314a9eb0a78725eb0386522025-08-20T03:23:31ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/574541574541Optimal Control Policies of Pests for Hybrid Dynamical SystemsBaolin Kang0Mingfeng He1Bing Liu2School of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, ChinaSchool of Mathematical Sciences, Dalian University of Technology, Dalian, Liaoning 116024, ChinaDepartment of Mathematics, Anshan Normal University, Anshan, Liaoning 114007, ChinaWe improve the traditional integrated pest management (IPM) control strategies and formulate three specific management strategies, which can be described by hybrid dynamical systems. These strategies can not only effectively control pests but also reduce the abuse of pesticides and protect the natural enemies. The aim of this work is to study how the factors, such as natural enemies optimum choice in the two kinds of different pests, timings of natural enemy releases, dosages and timings of insecticide applications, and instantaneous killing rates of pesticides on both pests and natural enemies, can affect the success of IPM control programmes. The results indicate that the pests outbreak period or frequency largely depends on the optimal selective feeding of the natural enemy between one of the pests and the control tactics. Ultimately, we obtain the only pest needs to be controlled below a certain threshold while not supervising pest .http://dx.doi.org/10.1155/2013/574541 |
| spellingShingle | Baolin Kang Mingfeng He Bing Liu Optimal Control Policies of Pests for Hybrid Dynamical Systems Abstract and Applied Analysis |
| title | Optimal Control Policies of Pests for Hybrid Dynamical Systems |
| title_full | Optimal Control Policies of Pests for Hybrid Dynamical Systems |
| title_fullStr | Optimal Control Policies of Pests for Hybrid Dynamical Systems |
| title_full_unstemmed | Optimal Control Policies of Pests for Hybrid Dynamical Systems |
| title_short | Optimal Control Policies of Pests for Hybrid Dynamical Systems |
| title_sort | optimal control policies of pests for hybrid dynamical systems |
| url | http://dx.doi.org/10.1155/2013/574541 |
| work_keys_str_mv | AT baolinkang optimalcontrolpoliciesofpestsforhybriddynamicalsystems AT mingfenghe optimalcontrolpoliciesofpestsforhybriddynamicalsystems AT bingliu optimalcontrolpoliciesofpestsforhybriddynamicalsystems |