报告题目：A delay suppression model with sterile mosquitoes
release period equal to wild larvae maturation period
报 告 人：庾建设教授(广州大学)
报告时间：2021年9月26日(星期日)8:20--9:20
报告地点：数学科学学院 A426
内容简介：Based on the idea that only those sexually active sterile mosquitoes are included in the modeling process, we study the dynamics of the interactive wild and sterile mosquito model with time delay, which consists of three sub-equations. Due to the fact that the maturation period of sterile mosquitoes bred in the lab or mosquito factories is the same time period of wild adults mature from larvae, we particularly assume that the waiting period for two consecutive releases of sterile mosquitoes equals the maturation period of wild mosquitoes, as a new practical sterile mosquito release strategy. We first ingeniously solve the delay model with the initial functions that are solutions of the corresponding equation without delay, referred to as ``good solutions. Using these ``good'' solutions, we then surprisingly obtain sufficient and necessary conditions for the trivial solution and a unique periodic solution of the delay model to be globally asymptotically stable, respectively. We provide a numerical example to demonstrate the model dynamics and brief discussions of our findings as well.We are confident that the results obtained and the methods used in this paper can be applied to other similar situations where no existing results and methods are available.
报告人简介：庾建设教授，广州大学博士生导师，国家杰出青年基金获得者, 现任广州市政协副主席、广州大学应用数学研究中心主任。曾获省部级科技进步一、二、三等奖各两项。1996年入选国家“百千万人才工程”第一、二层次人选，1998年被评为国家有突出贡献的中青年专家，2000年获得教育部“跨世纪优秀人才培养计划”基金资助，2002年获教育部“高校青年教师奖”。庾建设教授曾任广州大学校长、党委书记，多次担任国际国内学术会议的学术委员会主席，任第四届“中国学位与研究生教育学会”副会长。庾建设教授主要从事常微分方程，泛函微分方程、离散系统的理论与应用、生物数学研究，获得了一系列重要的研究成果，先后解决了国际著名数学家所提出的多个公开问题与猜想，主持多项国家自然科学基金重点项目与面上项目及科技部重大基础研究前期研究专项，先后获省部级科技进步一、二、三等奖各两项；获国家教学成果一等奖1项，省教学成果一等奖2项；担任“Communications on Pure and Applied Analysis” 、 “Journal of Difference Equations and Applications” 等重要国际知名数学杂志的编委。
（撰稿人：刘胜强；审稿人：郭永峰）
数学科学学院
2021年9月24日