Wolbachia spread dynamics in mosquito populations in cyclic environments
主 讲 人 :庾建设 教授
活动时间:05月17日14时15分
地 点 :理科群1号楼 D311 室,腾讯会议:296273198 密码:3456
讲座内容:
In this talk, we introduce a discrete model with periodic parameters to depict the Wolbachia spread dynamics in mosquito populations in cyclic environments. This work modifies the models established in the existing literature that did not take into account the variation of parameters with environmental periodic changes due to seasonality and other factors. When the parameters in our model are constants, it has been extensively studied and widely used. We present a conjecture about the existence of at most two periodic solutions worthy of further study, and show that the conjecture is true for the special case of 2-periodic parameters. Numerical simulations are also provided to illustrate the occurrence of periodic phenomena.
主讲人介绍:
庾建设,教授,博士生导师,国家杰出青年基金获得者,国家有突出贡献的中青年专家,全国教育系统劳动模范,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。曾任湖南大学副校长,广州大学校长、书记,先后主持国家杰出青年基金、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. Theoret. Biol.》等国际期刊上发表论文100多篇。