报告题目：Global asymptotic stability in a delay mosquito population suppression model

报告人：庾建设教授（广州大学）

时间：2022年4月23日（周六）下午15:30-17:30

地点：腾讯会议：279-884-492

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 “good” solution control method, we 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，博士生导师，原广州大学校长。国家杰出青年基金获得者，国家有突出贡献的中青年专家。主要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，在《Nature》、《SIAM J.Appl.Math.》、《Proceedings of the London Math.Society》、《J. Differ. Equ.》等重要期刊上发表了一系列学术论文，是多项国际学术会议学术委员主席和多个国际学术期刊的编委。