报告题目：A hybrid continuous/discrete-time model for invasion dynamics of zebra mussels in rivers
报告人：黄启华教授
报告时间：2025年6月29日（周日）下午14:00—15:00
报告地点：藕舫楼724室
主持人：刘文军教授
报告摘要：
While some species spread upstream in river environments, not all invasive species are successful in spreading upriver. Here the dynamics of unidirectional water flow found in rivers can play a role in determining invasion success. We develop a continuous-discrete hybrid benthic-drift population model to describe the dynamics of invasive freshwater mussels in rivers. In the model, a reaction-advection-diffusion equation coupled to an ordinary differential equation describes the larval dispersal in the drift until settling to the benthos, while two difference equations describe the population growth on the benthos. We study the population persistence criteria based on three related measures: fundamental niche, source-sink distribution, and net reproductive rate. We calculate the critical domain size in a bounded domain by analyzing a next generation operator. We analyze the upstream and downstream spreading speeds in an unbounded domain. The model is parameterized by available data in the literature. Combining the results of model parameterization and theoretical analysis, we numerically analyze how the interaction between population growth and dispersal, river flow rate, and water temperature affects both persistence and the spread of zebra mussels along a river.
报告人简介：
黄启华，教授，博导。2011年8月在美国 University of Louisiana at Lafayette获得应用数学博士学位。2011年8月至2016年6月在加拿大University of Alberta生物数学中心从事博士后研究工作，主要合作导师为 Mark Lewis 教授 (加拿大皇家科学院院士)。2016年6月通过西南大学“聚贤工程”人才引进计划被特别评聘为教授。主要研究方向为生物数学、偏微分方程和数值分析。科研成果发表在应用数学、生物数学和理论生态学等领域的期刊SIAM Journal on Applied Mathematics，SIAM Journal on Applied Dynamical Systems, Theoretical Ecology，Journal of Mathematical Biology, Bulletin of Mathematical Biology, Mathematical Biosciences，Journal of Theoretical Biology等，其中2017年和2022年发表在SIAM Journal on Applied Mathematics上的论文先后在美国工业与应用数学学会的官方网站SIAM News上被报道。主持国家自然科学基金面上项目两项、重庆市留学人员回国创新支持计划重点项目一项。现任Mathematical Biosciences编委。
欢迎广大师生踊跃参加！
数学与统计学院
江苏省应用数学（南京信息工程大学）中心
江苏省系统建模与数据分析国际合作联合实验室
2025年6月29日
