报告人：王治安教授（香港理工大学）

时间：2026年05月01日星期五上午9:30 -11:30

地点：数理楼135报告厅

题目：Global dynamics on resource-consumer models: blow-up, persistence and extinction

摘要：This talk aims to discuss a novel consumer-resource system, which incorporates resource decay and consumer loss as well as the resource diffusion, under conditions that the resource input rate may exhibit spatial heterogeneity and temporal periodicity. Our findings show two sharply contrasting dynamical regimes: (i) for the immobile resource case, the resource remains limited at locations where it decays, while exhibits infinite-time blow-up at locations where it does not decay either when the consumer population becomes extinct, or for the high yield rates when the consumer population persists; (ii) in contrast, a mobile resource remains globally bounded for all time unconditionally. These results highlight the pivotal role of the resource decay and motility in suppressing blow-up phenomena, thereby offering a new understanding for the consumer-resource interaction in real ecological systems.

报告人简介：王治安，香港理工大学应用数学系教授，华中师大本科硕士，加拿大艾伯塔大学应用数学博士，美国明尼苏达大学应用数学所博士后。主要从事与生物数学相关的偏微分方程建模及分析研究。目前已在Proc. London Math. Soc、J. London Math. Soc.、J. Math. Biol.、JMPA、CPDE、SIAM J. Math. Anal.、SIAM J. Appl. Math.、Indiana U. Math. J.等杂志上发表学术论文100多篇。现担任杂志J. Mathematical Biology, DCDS-B，MBE等杂志编委。多次获得香港研究资助局基金资助以及2022年国家自然科学基金委-香港研究资助局联合基金资助。曾获香港数学会青年学者奖。