报告人 ：上海理工大学 原三领教授

报告时间：2023年6月24日15：00-18：00

报告地点：河南省大数据研究院3楼大会议室 

摘要：

This talk is about the dynamics of fish population in passive advective environments which includes two issues. The first issue is, based on a diffusive bait-fish model with advection term, to determine the bait casting threshold that meets the demand for the breeding and causes less pollution to the water environment. The well-posedness, the net reproductive rate determining the survival of the model and the relationship between and the bait casting rate are fist discussed. Also, the problem that how long the uneaten bait can diffuse is numerically addressed. The second issue is, based on a spatial eco-epidemiological system, to determine whether a disease can spread within the predator population in open advective environments. The net reproductive rate   is first established for the disease-free subsystem to determine whether the predator can invade successfully; For the scenario of successful invasion of the predators, sufficient conditions for the prevalence of disease and the local stability of disease-free attractor are obtained by dint of persistence theory and comparison theorem.

简介：

原三领，教授，博士生导师，上海理工大学应用数学学科负责人，中国数学会生物数学专业委员会副主任，国际SCI期刊Mathematical Biosciences and Engineering编委。研究方向为：微分方程与动力系统、生物数学。曾先后主持多项国家自然科学基金面上项目和上海市项目的研究工作。已在Journal of Nonlinear Sciences、Journal of Differential Equations、Journal of Mathematical Biology、 Bulletin of Mathematical Biology等国内外重要学术刊物上发表SCI论文100余篇。