报告题目：A pest 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：Due to the presence of residual effect of pesticides, repeated spraying of pesticides has a cumulative lethal effect on pests. In this paper, we establish and analyze a pest control dynamic model based on the cumulative lethal effect and frequency of pesticide spraying. Our main aim is to accurately characterize the killing-rate due to the cumulative lethal effect of pesticide spraying. Our analysis gives an integral invariant of the cumulative killing-rate function, which plays a key role in obtaining a complete dynamic analysis of the model 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 findings 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.、JTheor. Biol.等国际期刊上发表论文多篇。