报告题目：Apest population control model based on the cumulative lethal effects of periodic pesticide spraying

报 告 人：庾建设 教授

报告时间：2025年5月20日（星期二）上午9:00-9:50

报告地点：上海理工大学管理学院，四楼第二会议室

报告摘要：Dueto the presence of residual effect of pesticides, repeated sprayingof pesticides has a cumulative lethal effect on pests. In this paper,we establish and analyze a pest control dynamic model based on thecumulative lethal effect and frequency of pesticide spraying. Ourmain aim is to accurately characterize the killing-rate due to thecumulative lethal effect of pesticide spraying. Our analysis gives anintegral invariant of the cumulative killing-rate function, whichplays a key role in obtaining a complete dynamic analysis of themodel including the existence, uniqueness and stability of periodicsolutions. We derive a threshold of pesticide spraying period for theeventual extinction of the pest population. By combining ourtheoretical findings and numerical simulations, in accordance withthe frequency and cumulative killing-rate function of pesticidespraying, pesticide spraying strategies can be determined to achieveeffective pest control within a predetermined time. This is a jointwork 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.DifferentialEquations、SIAMJ. Appl. Math.、J.Math. Biol.、JTheor.Biol.等国际期刊上发表论文多篇。