报告题目：Switching discrete models based on environmental change
报告人：庾建设 （广州大学
报告时间：2023年6月3号16:00-17:00
报告地点：复杂系统研究所4层报告厅
报告人简介：庾建设，曾任广东省广州市政协副主席，党组副书记，广州大学校长，党委书记。现为广州大学应用数学研究中心主任。教授，博士生导师，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，国际差分方程协会主任委员会常委。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4项；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 Comput. Biol.》、《J. Differential Equations》、《ANONA》、《SIAM J. Appl. Math.》、《J. Math. Biol.》、《J. Theor. Biol.》等重要数学、应用数学国际刊物发表论文多篇。
报告摘要：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 questions in designing release strategies are how often and in what amount should Wolbachiainfected 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, we may refer to J. Differ. Equations, 2020, 269(7): 6193-6215; 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.
庾建设教授在做精彩报告
