学术报告
您现在的位置: 首页 > 科学研究 > 学术报告 > 正文

20181019 邹幸福 Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis —— a spatially non-local model

发布时间:2018-10-19 16:28    浏览次数:    来源:

报告题目:Role of white-tailed deer in geographic spread of the black-legged tick Ixodes scapularis —— a spatially non-local model
报告人:邹幸福教授 加拿大西安大略大学
报告时间:2018年10月19日(星期五)上午11:00-12:00
报告地点:数学院4楼425报告厅
内容摘要: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 to describe the spatial spread of blacklegged ticks due to deer dispersal. The model turns out to be a system of differential equations with a spatially non-local term accounting for the phenomenon that a questing female adult tick that attaches to a deer at one location maylater drop to the ground, fully fed, at another location. After justifying the well-posedness of the model and analyzing the stability of its steady states, we will 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 turns out to be the minimum wave speed and the actual spread speed of the tick population. We then present some numerical simulation results to demonstrate the above results. We also explore the dependence of $c^*$ on the dispersion rate of the white tailed deer, by which one may evaluate the role of the deer's dispersion in the geographical spread of the ticks.

湖南大学版权所有©2017年    通讯地址:湖南省长沙市岳麓区麓山南路麓山门     邮编:410082     Email:xiaoban@hnu.edu.cn
域名备案信息:[www.hnu.edu.cn,www.hnu.cn/湘ICP备05000239号]      [hnu.cn 湘教QS3-200503-000481 hnu.edu.cn  湘教QS4-201312-010059]