报告题目1:Nonplanar traveling fronts in bistable reaction-diffusion equations
报告人: 盛伟杰
讲座时间:08:30-10:00
讲座人简介:
盛伟杰,现为哈尔滨工业大学bv1946伟德副教授。2012年毕业于兰州大学,师从李万同教授。2016年受国家留学基金委资助法国艾克斯马赛大学,合作导师:Francois Hamel教授。主要从事反应扩散方程的行波解及传播问题的研究,特别是在反应扩散方程的非平面波等问题作出了一些原创新的工作。目前已在J.Math. Pures Appl.,Calc. Var. PDE等国际重要期刊发表过论文。主持国家自然科学基金面上项目1项。
讲座简介:
In this talk, I will show that the complex propagation phenomena of bistable equations in multidimensional space. In particular, I will demonstrate some nonplanar traveling fronts in bistable reaction-diffusion equations, including pyramidal shaped fronts, polyhedral shaped fronts and fronts evolving into V-shaped fronts.
报告题目2:Asymptotic behavior of the principal eigenvalue and basic reproduction ratio for periodic patch models
报告人: 张磊
讲座时间:10:00-12:00
讲座人简介:
张磊,现为哈尔滨工业大学(威海)讲师。2012年本科毕业于河北大学,2018年博士毕业于中国科学技术大学,师从梁兴教授。2015年受国家公派联合培养研究生项目赴加拿大纽芬兰纪念大学留学两年,2020年继续从事博士后研究一年半,导师为赵晓强教授。主要研究方向为微分方程与动力系统。目前已在SIAM J. Math. Anal., J. Dyn. Differ. Equ., J. Differential Equations, European J. Appl. Math. 等期刊发表学术论文多篇。
讲座简介:
In this talk, we focus on the asymptotic behavior of the principal eigenvalue and basic reproduction ratio associated with periodic population models in a patchy environment for small and large dispersal rates. We first present the limiting profile of the principal eigenvalue of an associated periodic eigenvalue problem as the dispersal rate goes to zero and infinity, respectively. We then discuss the asymptotic behavior of the basic reproduction ratio in the case of small and large dispersal rates. Finally, we apply these results to a periodic Ross-Macdonald patch model. This talk is based on a joint work with Professor Xiao-Qiang Zhao.