题 目：Role of of white-tailed deer in geographic spread of blacklegged tick: a spatially nonlocal model and its analysis
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 paper, we develop 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 may later drop to the ground, fully fed, at another location having been transported by the deer. We first justify the well-posedness of the model and analyze the stability of its steady states. We then 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 then proved to be (i) the minimal speed of traveling wave fronts in the sense that for c > c*, there is a traveling wave front of speed c connecting the extinction steady state to the positive steady state; and for c<c*, there is no such traveling wave front; and (ii) the actually spread speed when initial distribution has compact support. We also carry out some numerical simulations for the original spatial model system and the results confirm the role of c^* described above. We also numerically 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.
报告人：邹幸福
报告人简介：邹幸福教授分别在中山大学、湖南大学和加拿大York University获得学士、硕士和博士学位，并在加拿大University of Victoria和美国Georgia Institute of Technology 从事过博士后研究工作。曾任教于加拿大Memorial University of Newfoundland，现为加拿大University of Western Ontario数学系教授。研究兴趣为微分方程和动力系统的理论及应用，特别是反应扩散方程、常泛函微分方程及偏泛函微分方程及其在生物领域的应用。
时 间：2022年12月22日（周四）上午 9：00 始
地 点：腾讯会议ID：954-544-985
热烈欢迎广大师生参加!
信息科学技术学院
2022年12月12日