山大新闻网-亚博安卓下载

举办单位：数学科学学院

负责人姓名：王飏

电话：0351-7010555

活动主题：some results on chemotaxis model

形式：线上学术报告

内容摘要：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 $t$ less than the sexual lifespan of wolbachia-infected males. we define release amount thresholds $g_1^*$ and $g_2^*$ with $g_1^*ge g_2^*$, population suppression is always achievable, as is mathematically manifested by the global asymptotic stability of the origin. however, when $c\in (0, g_1^*]$, we find that suppression can be achieved only if the initial wild mosquito population is small enough. this is mathematically proved by the local asymptotic stability of the origin, together with the existence of exactly two $t$-periodic solutions, one of which is asymptotically stable and the other of which is unstable, with $t$ being the waiting period between two consecutive releases. for $c\in (g_1^*, g_2^*)$, we find sufficient conditions on the nonexistence of $t$-periodic solution, and the existence of at most two $t$-periodic solutions.

主讲人基本情况：庾建设，广州大学数学与信息科学学院教授、博士生导师。现任广州市政协副主席、党组副书记，曾任广州大学党委书记、校长等职。主要从事微分方程动力系统、差分方程、泛函微分方程及生物数学模型的理论与应用研究。在《nature》、《j. differential equations》等国内外学术期刊发表论文100多篇。国家自然科学基金杰出青年基金获得者，先后主持国家自然科学基金重点项目、面上项目、教育部高校博士点基金和其它省部级基金10余项。入选国家“百千万人才工程”第一、二层次人选，被评为国家有突出贡献的中青年专家。

听众范围：数学学院师生

举办时间：2022年8月5日

举办地点：腾讯会议

报告类型：理科类