讲座内容简介：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 questions in designing release strategies are how often and in what amount should Wolbachia infected mosquitoes be released in order to guarantee the success of population suppression. In this talk, I will introduce our recent works on answering the two questions which have been published in the following three papers.

J. Differ. Equations, 2020, 269(7): 6193-6215.

J. Differ. Equations, 2020, 269(12): 10395-10415.

SIAM J. Appl. Math., 2021, 81(2): 718-740.

By treating the released mosquitoes as a given function, we proposed mosquito suppression models consisting of two sub-equations switching each other. An almost complete characterization of interactive dynamics of wild and released mosquitoes are offered, including the global asymptotic stability of zero solution and the exact number of periodic solutions of these models. It is well known that to obtain existence and also uniqueness conditions for periodic solutions are mathematically challenging for many dynamical systems and there are few such results existed. We hope the methods and techniques used in these three papers can be usefully applied to other model analysis as well.

讲座人简介：庾建设，广州大学教授，国家杰出基金获得者，国家有突出贡献的中青年专家，国家“百千万人才工程”第一层次、第二层次人选，教育部跨世纪优秀人才，享受政府特殊津贴专家，广州大学应用数学研究中心主任。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3项；2020年获得广东省科学技术奖自然科学奖一等奖。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 Computational Biology、J. Diff. Equas、Slam J. Math. Anal.、SIAM J. Appl. Math.、Journal of Math. Biol.等重要数学、应用数学国际刊物发表论文300余篇，并且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。