报告题目：Existence and Stability of Periodic Solutions for a Mosquito Suppression Model with Incomplete Cytoplasmic Incompatibility

报告人：庾建设教授，广州大学

报告时间：2023年9月19日15:00-16:00

报告地点：20-308

报告摘要：Cytoplasmic incompatibility (CI) caused by endosymbiotic bacteria Wolbachia has been an effective way to suppress and even eradicate wild vector mosquitoes. By assuming that CI is driven by impulsive and periodic releases of Wolbachia-infected males, we develop a time-switching ordinary differential equation model to characterize the impact of the release amount, the release period and the incomplete CI on the suppression efficiency. Sufficient conditions to guarantee the existence and uniqueness, or the existence of exactly two periodic  solutions are obtained, together with their stability analyses. This is a joint work with my Ph D student Rong Yan and Professor Bo Zheng. 

报告人简介：庾建设，教授，博士生导师，广州大学应用数学研究中心主任。曾任湖南大学副校长，广州大学校长、书记，先后主持国家自然科学基金包括重点项目、数学天元项目、面上项目等10多项。主要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，已在《Nature》、《J. Differential Equations》、《SIAM J. Appl. Math.》、《J. Math. Biol.》、《J. Theor. Biol.》等国际期刊上发表论文100多篇。

邀请人：韩茂安