报告题目： The cumulative lethal rate of repeated spraying of pesticides and its applications

报告人： 庾建设 教授（广州大学）

报告时间： 2026 年8月4日（星期二）下午 15:00-16:00

报告地点： 数学科学学院111A

校内联系人：衣凤岐 教授      联系电话：84708351-8518

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.

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报告人简介：庾建设，广州大学数学与信息科学学院教授，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，教育部跨世纪优秀人才，享受政府特殊津贴专家，全国教育系统劳动模范。先后担任广州大学校长、党委书记、广东省广州市政协副主席、党组副书记、广州大学应用数学研究中心主任、国际差分方程协会理事会成员等多个重要职务。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，是多个国内国际学术刊物的编委。先后主持国家自然科学基金项目10余项，其中重点项目3项，数学交叉研究平台项目2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3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》、《PLoS Comput. Biol.》、《J. Differential Equations》、《SIAM J. Appl. Math.》、《J. Math. Biol.》、《J. Theor. Biol.》等重要数学、应用数学国际刊物发表论文多篇。