报告题目：Impact of releasing period and magnitude on mosquito population in a sterile release model with delay
报告人：广州大学 郑波 教授
报告时间：9：00-12：00, 2th July 2022.
报告地点：腾讯会议 (ID:717 603 493) 联系人：田信宽(Tel:18769092104)
Abstract：
The release of sterile male mosquitoes from 2015 to 2017 enabled near-elimination of wild Aedes albopictus females on two islands in Guangzhou. To avoid losing their mating competitiveness, sterile males are released immediately after they emerge from pupae. Hence, the maturation period of wild females can also be interpreted as the period of sterile males reared in factories. Assuming that there are multiple batches of sterile males reared and released during the maturation period, we derive a switching delay differential model to study the fate of wild females under an impulsive and periodic release of sterile males. For the release magnitude of each batch $c$, we find two threshold values $c_1^*$ and $c_2^*$, and prove that when $c\in (0, c_1^*]$, the model admits exactly two periodic solutions, among which one is asymptotically stable and the other is unstable. The trivial equilibrium, corresponding to the elimination of wild females, is locally asymptotically stable, and it becomes globally asymptotically stable when $c\ge c_2^*$. One key step is to prove that every solution is sandwiched between two ''good'' solutions.
简介：
郑波，博士，教授，博士生导师。主要从事常微分方程、泛函微分方程及生物数学模型的理论与应用研究，在《Nature》、《SIAM Journal of Applied Mathematics》、《Journal of Mathematical Biology》、《中国科学》、《Journal of Differential Equations》、《Journal of Dynamics and Differential Equations》、《Journal of Theoretical Biology》、《Theoretical Population Biology》等国际国内重要刊物上发表论文30余篇。先后主持国家自然科学基金4项、广州市教育局3项，2014年入选广东省高校优秀青年教师培育对象，是教育部创新团队“泛函微分方程及相关问题”的骨干成员。获得首届秦元勋青年数学奖。
