应公司数学与统计学院邀请，加拿大纽芬兰纪念大学（Memorial University of Newfoundland）Xiaoqiang Zhao教授将于2026年6月17日为公司数学专业教师和研究生讲学。欢迎数学与统计学院及全校相关教师、博士生和硕士生参加!

报告题目：Global Dynamics of Nonlocal Dispersal Systems with Time-Varying Domains

报告人：XiaoqiangZhao教授

报告人单位：纽芬兰纪念大学（Memorial University of Newfoundland）

时间：2026年6月17日（周三）下午15：00

地点：A8楼723会议室

教授简介：Xiaoqiang Zhao教授为加拿大纽芬兰纪念大学数学与统计系教授，该校University Research Professorship荣誉获得者。赵教授先后于1983年和1986年在西北大学数学系获学士和硕士学位，1990年在中国科学院应用数学研究所获博士学位。赵教授长期从事动力系统、微分方程和生物数学相关领域的研究，在单调动力学、一致持久性、行波解和渐近传播速度、主特征值、基本再生数的理论及应用等方面的系列工作受到同行的广泛关注和引用。迄今为止，他已在“Comm. Pure Appl. Math.、J. Eur. Math. Soc.、J. reine angew. Math.、J. Math. Pures Appl.、Trans. Amer. Math. Soc.、SIAM J. Math. Anal.”等国际知名期刊上发表论文180余篇，并在Springer出版专著“Dynamical Systems in Population Biology”。赵教授个人主页：https://www.math.mun.ca/~zhao/

报告摘要：In this talk, I will report our recent research on the asymptotic behaviour of a class of nonlocal dispersal systems with time-varying domains. We first establish the comparison principle for generalized sub-anduper-solutions of nonautonomous nonlocal dispersal systems defined on the space of bounded measurable functions. We then develop a comprehensive framework to determine the threshold dynamics of the original system with asymptotically fixed and time-periodic domains. In the case of asymptotically unbounded domain, we introduce an auxiliary function to overcome the difficulties caused by the asymptotically vanishing viscosity and the time-dependent coupling structure in the nonlocal kernels. This enables us to construct generalized sub-solutions and derive the global threshold dynamics via the comparison arguments. Our findings may be of independent interest and the developed techniquesare expected to find further applications in the related nonlocal dispersal problems.We also conduct numerical simulations for a nonlocal spatial model of West Nile virus to illustrate the obtained analytical results.

欢迎各位老师同学届时参加！