Topic:Dynamics of populations living in multiple layers of a rive
Speaker: Associate Professor Yu Jin
Event date: 12/21/2018
Event time: 8:30 a.m.
Venue: Lecture Hall 204, Building 9
Sponsor: School of Mathematics and Statistics, Institute of Science and Technology
Introduction:
Yu Jin got her Ph. D from Memorial University of Canada. She did post doctor in Alberta University of Canada. She is now an associate professor in the Department of Mathematics at University of Nebraska Lincoln in USA.
She has research interest in applied mathematics with the main focus on dynamical systems and mathematical biology.
Her research work is the conjoining of nonlinear dynamics and biology. This includes the establishment of appropriate mathematical models (mainly ordinary partial functional differential equations and difference equations) for phenomena in spatial ecology.
Abstract:
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.