A study of integrated pest management models with instantaneous and non-instantaneous impulse effects
The occurrence of pests and diseases during agricultural production affects the quality and quantity of agricultural products. It is important to evaluate the impact of various factors on pests to achieve optimal results of integrated pest management (IPM) during its implementation. In this paper, w...
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AIMS Press
2024-01-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2024136?viewType=HTML |
| _version_ | 1797293222498664448 |
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| author | Liping Wu Zhongyi Xiang |
| author_facet | Liping Wu Zhongyi Xiang |
| author_sort | Liping Wu |
| collection | DOAJ |
| description | The occurrence of pests and diseases during agricultural production affects the quality and quantity of agricultural products. It is important to evaluate the impact of various factors on pests to achieve optimal results of integrated pest management (IPM) during its implementation. In this paper, we considered the transient and non-transient effects of chemical control on pests and the effects on natural enemies at different times, and developed a corresponding pest control model. Detailed studies and comparisons were conducted for spraying pesticides either more or less frequently as compared to strategies for releasing natural enemies. The threshold conditions for global asymptotic stabilization of the pest extinction period solution was obtained. Using two-parameter and sensitivity analysis techniques, the parameters affecting the variation of the threshold were discussed. By comparing these two pest control strategies, we found the existence of optimal application and release frequencies. Finally, in order to control pests below the economic threshold level, the state-dependent pest model was numerically investigated. The results show that the presence or absence of chemical control of pests can depend on the values taken for the parameters in the model. Based on this information, pest control experts can make decisions about the best spraying time and the best release rate. |
| first_indexed | 2024-03-07T20:09:45Z |
| format | Article |
| id | doaj.art-38e470aed4164a00a50c17cbb84cf82f |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-03-07T20:09:45Z |
| publishDate | 2024-01-01 |
| publisher | AIMS Press |
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| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-38e470aed4164a00a50c17cbb84cf82f2024-02-28T01:15:18ZengAIMS PressMathematical Biosciences and Engineering1551-00182024-01-012123063309410.3934/mbe.2024136A study of integrated pest management models with instantaneous and non-instantaneous impulse effectsLiping Wu0Zhongyi Xiang11. School of Mathematics and Statistics, Hubei Minzu University, Enshi 445000, Hubei, China1. School of Mathematics and Statistics, Hubei Minzu University, Enshi 445000, Hubei, China 2. Hubei Key Laboratory of Biologic Resources Protection and Utilization, Hubei Minzu University, Enshi 445000, Hubei, ChinaThe occurrence of pests and diseases during agricultural production affects the quality and quantity of agricultural products. It is important to evaluate the impact of various factors on pests to achieve optimal results of integrated pest management (IPM) during its implementation. In this paper, we considered the transient and non-transient effects of chemical control on pests and the effects on natural enemies at different times, and developed a corresponding pest control model. Detailed studies and comparisons were conducted for spraying pesticides either more or less frequently as compared to strategies for releasing natural enemies. The threshold conditions for global asymptotic stabilization of the pest extinction period solution was obtained. Using two-parameter and sensitivity analysis techniques, the parameters affecting the variation of the threshold were discussed. By comparing these two pest control strategies, we found the existence of optimal application and release frequencies. Finally, in order to control pests below the economic threshold level, the state-dependent pest model was numerically investigated. The results show that the presence or absence of chemical control of pests can depend on the values taken for the parameters in the model. Based on this information, pest control experts can make decisions about the best spraying time and the best release rate.https://www.aimspress.com/article/doi/10.3934/mbe.2024136?viewType=HTMLintegrated pest managementpesticide residue effectssensitivity analysisstate-dependence pest model |
| spellingShingle | Liping Wu Zhongyi Xiang A study of integrated pest management models with instantaneous and non-instantaneous impulse effects Mathematical Biosciences and Engineering integrated pest management pesticide residue effects sensitivity analysis state-dependence pest model |
| title | A study of integrated pest management models with instantaneous and non-instantaneous impulse effects |
| title_full | A study of integrated pest management models with instantaneous and non-instantaneous impulse effects |
| title_fullStr | A study of integrated pest management models with instantaneous and non-instantaneous impulse effects |
| title_full_unstemmed | A study of integrated pest management models with instantaneous and non-instantaneous impulse effects |
| title_short | A study of integrated pest management models with instantaneous and non-instantaneous impulse effects |
| title_sort | study of integrated pest management models with instantaneous and non instantaneous impulse effects |
| topic | integrated pest management pesticide residue effects sensitivity analysis state-dependence pest model |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2024136?viewType=HTML |
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