报 告 人：张磊 博士
报告题目：Basic reproduction ratios for periodic abstract functional differential equations
报告时间：2018年6月29日（周五）下午2:30-4:30
报告地点：静远楼204学术报告厅
报告人简介：
张磊，于2012年至2018年在中国科学技术大学硕博连读，导师为梁兴教授。于2015年至2017年受国家留学基金委（CSC）资助到加拿大纽芬兰纪念大学（Memorial University of Newfoundland）做联合培养博士，导师为赵晓强教授。 目前主要从事非线性分析及微分方程动力学理论方面的研究。研究成果发表在SIAM JMA、JDDE等国际数学杂志上。
报告摘要：
The basic reproduction ratio is an important parameter in population biology. Mathematically, we hope to prove that R_0-1 can determine the local stability of the zero steady state. Such a theory has been developed for many classes of models including autonomous and time periodic ODEs and reaction-diffusion models with or without time delay. In this talk, we will discuss the such a theory to abstract functional differential equations whose solution maps may be non-compact. The principle eigenvalue theory for a positive operator is the main tools in this project.