报告摘要: 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.

报告时间：2021年8月10日（周二）上午15:30-16:30，

报告地点：线上，腾讯会议号：437199641

报告人简介：

庾建设，教授，博士生导师，广州大学应用数学研究中心主任，国际差分方程协会主任委员会常委。庾建设教授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5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》、《ANONA》、《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。