报 告 人：Yu Jin（金瑜）副教授
报告题目：Dynamics of populations living in multiple layers of a rive
报告时间：2018年12月21日（周五）上午8:30-11:00
报告地点：静远楼204学术报告厅
主办单位：数学与统计学院、科学技术研究院
报告人简介：
Yu Jin got her Ph.D from Memorial university of Canada. She did post-doctor in Albe-rta university of Canada.She is now an associate professor in the Department of Mathe-matics at University of Nebraska-Lincoln in USA. She has research interest in applied mathematics with the main focus on dynamical systems and mathematical biol-ogy. Her research work is the conjoining of nonlinear dynamics and biology. This incl-udes the establishment of appropriate mathematical models (mainly ordinary/partial/fu-nctional differential equations and difference equations) for phenomena in spatial ecol-ogy.
报告摘要：
Population dynamics of multiple interactive species in rivers is important in river ecology. Some river species live in multiple water layers of the river. We consider a model for two competitive species where the populations grow and compete in the benthic zone and disperse in the drifting water zone. We establish threshold conditions for persistence and extinction of two species and numerically investigate the influences of factors, such as advection rates, diffusion rates, river length, competition rates, transfer rates, and spatial heterogeneity on persistence of the two species. We also consider a predator (fish)-prey (zooplankton) system, in which zooplankton live in both the surface water and the deep water, while fish only live in the surface water, and zooplankton undertake diel vertical migration to avoid predation by fish during the day and to consume sufficient food in the surface water during the night. We establish the persistence theory for both species and investigate how zooplankton maintain a balance with their predators via vertical migration.
