江苏省应用数学（中国矿业大学）中心系列学术报告
报告题目：The cumulative lethal rate of repeated spraying of pesticides and its applications
报告时间：2025年 12月15日 15:00-16:00
报 告 人：庾建设，广州大学教授、博士生导师
报告地点：数学学院A302
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报告摘要：Due to the presence of residual effects of pesticides, repeated spraying of pesticides has a cumulative lethal effect on pests which has not been clearly expounded in the existing literature. In this paper, we start by depicting the cumulative lethal rate of pests caused by repeated pesticide spraying. Although the cumulative lethal rate function is complex, our analysis gives an integral invariant of the cumulative killing-rate function, which plays a crucial role in the dynamical analysis of the Logistic single-population growth model that we preferred as a direct application, and helps us obtain a complete dynamical conclusion including the existence, uniqueness and stability of periodic solutions. We derive a threshold of pesticide spraying period for the eventual extinction of the pest population. By combining our theoretical ffndings and numerical simulations, in accordance with the frequency and cumulative killing-rate function of pesticide spraying, pesticide spraying strategies can be determined to achieve effective pest control within a predetermined time.This is a joint work with Zhigang Liu, Bo Zheng and Jia Li
报告人简介：
庾建设，教授，博士生导师，国家杰出青年基金获得者，国家有突出贡献的中青年专家，国家“百千万人才工程”第一层次、第二层次人选，教育部跨世纪优秀人才，享受政府特殊津贴专家，广州大学应用数学研究中心主任。长期从事微分方程动力系统、差分方程及生物数学模型的理论与应用研究，先后主持国家自然科学基金包括重点项目、数学天元项目、面上项目等10多项，曾获国家级教学成果一等奖1项，省部级科技成果、教学成果一等奖多项。近十年来，致力于应用数学的理论研究及其在基因表达、蚊媒传染疾病防控等方面的应用，已在Nature、J.Differential Equations、SIAM J. Appl. Math.、J. Math. Biol.、J. Theor. Biol.等国际期刊上发表论文多篇。