{"title":"脉冲化学控制延迟害虫治理模型的研究。","authors":"Yize Chen, Juhua Liang","doi":"10.1080/17513758.2025.2548493","DOIUrl":null,"url":null,"abstract":"<p><p>Chemical control is crucial in pest management, but delayed responses to pesticide application can significantly affect its success. This study develops a type of novel mathematical models combining delayed impulse differential equations with pulse pesticide spraying to evaluate these delayed effects. The uniform stability of the pest eradication solution is analysed, and key parameters influencing pest control success are explored. Considering delays in both pest population growth reaching environmental capacity and pesticide response, a double delayed impulse differential equation is formulated. The asymptotic stability and exponential stability of the system are studied, and threshold conditions for pest extinction are identified. The findings help optimize pest control strategies under delayed pesticide responses.</p>","PeriodicalId":48809,"journal":{"name":"Journal of Biological Dynamics","volume":"19 1","pages":"2548493"},"PeriodicalIF":2.2000,"publicationDate":"2025-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Study on a delayed pest management model with pulse chemical control.\",\"authors\":\"Yize Chen, Juhua Liang\",\"doi\":\"10.1080/17513758.2025.2548493\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p><p>Chemical control is crucial in pest management, but delayed responses to pesticide application can significantly affect its success. This study develops a type of novel mathematical models combining delayed impulse differential equations with pulse pesticide spraying to evaluate these delayed effects. The uniform stability of the pest eradication solution is analysed, and key parameters influencing pest control success are explored. Considering delays in both pest population growth reaching environmental capacity and pesticide response, a double delayed impulse differential equation is formulated. The asymptotic stability and exponential stability of the system are studied, and threshold conditions for pest extinction are identified. The findings help optimize pest control strategies under delayed pesticide responses.</p>\",\"PeriodicalId\":48809,\"journal\":{\"name\":\"Journal of Biological Dynamics\",\"volume\":\"19 1\",\"pages\":\"2548493\"},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2025-12-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Biological Dynamics\",\"FirstCategoryId\":\"99\",\"ListUrlMain\":\"https://doi.org/10.1080/17513758.2025.2548493\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"2025/9/18 0:00:00\",\"PubModel\":\"Epub\",\"JCR\":\"Q3\",\"JCRName\":\"ECOLOGY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Biological Dynamics","FirstCategoryId":"99","ListUrlMain":"https://doi.org/10.1080/17513758.2025.2548493","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"2025/9/18 0:00:00","PubModel":"Epub","JCR":"Q3","JCRName":"ECOLOGY","Score":null,"Total":0}
Study on a delayed pest management model with pulse chemical control.
Chemical control is crucial in pest management, but delayed responses to pesticide application can significantly affect its success. This study develops a type of novel mathematical models combining delayed impulse differential equations with pulse pesticide spraying to evaluate these delayed effects. The uniform stability of the pest eradication solution is analysed, and key parameters influencing pest control success are explored. Considering delays in both pest population growth reaching environmental capacity and pesticide response, a double delayed impulse differential equation is formulated. The asymptotic stability and exponential stability of the system are studied, and threshold conditions for pest extinction are identified. The findings help optimize pest control strategies under delayed pesticide responses.
期刊介绍：
Journal of Biological Dynamics, an open access journal, publishes state of the art papers dealing with the analysis of dynamic models that arise from biological processes. The Journal focuses on dynamic phenomena at scales ranging from the level of individual organisms to that of populations, communities, and ecosystems in the fields of ecology and evolutionary biology, population dynamics, epidemiology, immunology, neuroscience, environmental science, and animal behavior. Papers in other areas are acceptable at the editors’ discretion. In addition to papers that analyze original mathematical models and develop new theories and analytic methods, the Journal welcomes papers that connect mathematical modeling and analysis to experimental and observational data. The Journal also publishes short notes, expository and review articles, book reviews and a section on open problems.
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