报告题目：Asymptotic behavior of the principal eigenvalue and basic reproduction ratio for periodic patch models

报告摘要：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.

报告人简介：张磊，现为陕西师范大学副研究员。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., SIAM J. Appl. Math., 中国科学（英文版）等期刊发表学术论文多篇。

报告时间：2023年9月21日16:00—16:30

报告地点：数学学院201报告厅