报告人：广州大学郑波教授

报告题目：Ordinary differential equation models on killing mosquitoes with more mosquitoes

摘要：The release of Wolbachia-infected mosquitoes in 2016 and 2017 enabled near-elimination of the sole dengue vector Aedes albopictus on Shazai and Dadaosha islands in Guangzhou.Mathematical analysis may offer guidance in designing effective mass release strategies for the area-wide application of this Wolbachia incompatible and sterile insect technique in the future. The two most crucial concerns in designing release strategies are how often and in what amount should Wolbachia-infected mosquitoes be released in order to guarantee population suppression.  Motivated by the experimental data from the Guangzhou mosquito factory and the release strategy implemented on two islands, we formulate and analyze a mosquito population suppression model considering the situation for the release period less than the sexual lifespan of Wolbachia-infected males. In this talk, I’d like to introduce how to find the thresholds on the release amount and the release period. Based on these thresholds, the model generates rich dynamics such as, the existence and uniqueness of a globally asymptotically stable periodic solution, the global asymptotical stability of the origin, and the existence of exactly two periodic solutions.

报告时间：10月20日上午8:30-10:30；

报告形式：腾讯会议；会议号：785 496 844

获取会议密码请发邮件至:ysu@hit.edu.cn

报告人简介：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。