报告题目：Minimal wave speed and spread speed in a system modelling the geographic spread of black-legged tick Ixodes scapularis
报告人： 赖秀兰副教授（中国人民大学数学科学研究院)
报告时间：2020年11月30日（星期一）14：00-15：00
报告形式：腾讯会议ID:120 940 278
内容简介：Lyme disease is transmitted via blacklegged ticks, the spatial spread of which is believed to be primarily via transport on white-tailed deer. In this talk, I will present a mathematical model which describes the spatial spread of blacklegged ticks due to deer dispersal, and explore the role that the white-tail deer plays in the geographic spread of the black-legged tick Ixodes scapularisin the northeast of the United States of America. The threshold dynamics is rigorously investigated in terms of the basic reproduction number, for the cases of the 1-D whole space R and general bounded spatial domain with homogeneous Neumann and Direchlet boundary conditions. We analyze the stability of its steady states and explore the existence of traveling wave fronts connecting the extinction equilibrium with the positive equilibrium for the system. We derive an algebraic equation that determines a critical value c* which is at least a lower bound for the wave speed in the sense that, if c < c*, there is no traveling wave front of speed c connecting the extinction steady state to the positive steady state. We also offer a rigorous theoretical confirmation of this linearly determinacy.
报告人简介：赖秀兰，中国人民大学数学科学研究院副教授，博士毕业于加拿大西安大略大学应用数学系，2014-2018年期间在中国人民大学数学科学研究院和美国俄亥俄州立大学生物数学所从事博士后研究，主要从事生物医学相关问题预测模型的模型建立、理论分析、数值模拟方面研究，包括关于癌症的数学建模，感染者体内病毒动力学研究。在PNAS, Science China Mathematics, SIAM Journal of Applied Math, Journal of Differential Equations, Journal of Theoretical Biology, BMC System Biology等核心期刊发表20余篇论文。作为课题负责人主持过一项国家自然科学基金项目。
（撰稿人：刘胜强；审稿人：裴永珍）
数学科学学院
2020年11月27日