报告题目：Switching discrete models based on environmental change

报 告 人：庾建设 教授 （广州大学）

报告时间：2023年6月12日 10:00-11:00

报告方式：海山楼 A1101

邀 请 人：丛洪滋 教授

报告摘要： There is currently great interest in releasing Wolbachia-infected Aedes mosquitoes worldwide to replace wild ones and mitigate arbovirus transmission. For Wolbachia establishment in natural field populations, we should consider the impact of environmental heterogeneity. To the end, we develop a discrete periodic switching model to characterize the Wolbachia spread dynamics in mosquito populations with non-overlapping generations, where the environmental change is periodic. The introduction threshold of Wolbachia-infected mosquitoes that must be surpassed for Wolbachia establishment is located, together with the location of that infection will ultimately reach. When the environments switch periodically, we find that the introduction threshold becomes an unstable periodic solution, and the infection will ultimately reach a stable periodic solution when maternal transmission is imperfect. Our model not only includes all the existing work since 1959, but also raises some theoretical questions that need further investigations.

报告人简介：庾建设，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，广州大学应用数学研究中心主任，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。