报告题目：Impact of Spatial Heterogeneity in Developmental Delay on Tick Population Distribution Dynamics

报告人：吴建宏教授

报告人单位：York University

报告时间：2026年9月17日星期四下午2：00-2：40

报告地点：正新楼313室

校内联系人：刘素莉[email protected]

摘要：

  Developmental delay plays a crucial role in shaping population dynamics, particularly for species whose maturation processes depend strongly on environmental conditions. In heterogeneous environments, the duration of developmental stages may vary across space, leading to complex patterns in population distribution.

  In this talk, we present recent studies based on an integro-differential equation model incorporating spatially varying developmental delay, which introduces a nonlocal feedback mechanism into the population dynamics of individuals undergoing maturation. In this framework, the delay represents the time required for individuals to develop from one life stage to another, while its spatial variability reflects environmental heterogeneity across the habitat. Using tick populations as a case study, we demonstrate the high sensitivity of population persistence to the speed of environmental change. In particular, slow environmental changes may lead to population extinction, whereas rapid environmental changes can facilitate population survival by redistributing individuals across space. Furthermore, we show that for a prescribed spatial distribution pattern, it is always possible to construct a corresponding spatially varying developmental delay such that the resulting stable positive equilibrium exhibits the desired spatial mode. These results highlight how spatial heterogeneity in developmental timing can fundamentally influence population persistence and spatial structure.

报告人简介：

  吴建宏，现任加拿大数学与统计系终身杰出特聘教授、加拿大应用数学首席教授、约克大学工业与应用数学实验室主任，并当选院士和加拿大卫生科学研究院院士。

在Kluwer、AMS/Fields、Springer、Wiley等出版社出版专著8部，发表学术论文450多篇。获得了包括加拿大女王钻石禧功勋章（Queen's Diamond Jubilee medal）、终身Fields Institute Fellow、加拿大华人专业人士杰出成就奖、加拿大新先锋科技奖等在内的10余项学术成就奖。