报告题目：Critical bait casting threshold and disease transmission dynamics of fish in passive advective environments

工作单位：上海理工大学

报告时间：2023年11月17日（周五 9:00-10:30）

报告地点：腾讯会议 167-520-970

报告摘要：

This talk is about the dynamics of fish population in passive advective environments which includes two parts. In the first part, we formulate a diffusive bait-fish model with advection term, aiming 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 $R_0$ determining the survival of the model and the relationship between $R_0$ and the bait casting rate are fist discussed. Besides, we show that the model undergoes a forward supercritical transcritical bifurcation when the bait casting rate is equal to the critical value. In the second part, we propose a spatial eco-epidemiological system with disease spread within the predator population in open advective environments. The net reproductive rate $R_P$ is first established for the disease-free subsystem to determine whether the predator can invade successfully. The impacts of advection rate on $R_P$ are also discussed. For the scenario of successful invasion of the predator, 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.

个人简介:

原三领，上海理工大学教授，博士生导师，中国数学会生物数学专业委员会副主任，国际学术期刊Mathematical Biosciences and Engineering编委。研究方向为：微分方程与动力系统、生物数学。先后主持4项国家自然科学基金面上项目和多项上海市基金项目的研究工作。研究内容涉及微分方程与动力系统、种群动力学、流行病动力学、海洋生态学以及生物化学工程等诸多领域，具有鲜明的多学科交叉特点。曾多次受邀到国内和国际多所高校进行合作研究和学术交流。已在Journal of Mathematical Biology、Journal of Differential Equations、Journal of Nonlinear Sciences、Bulletin of Mathematical Biology、Journal of Theoretical Biology、Mathematical Biosciences、Ecological Modelling等国内外重要学术刊物上发表SCI论文100余篇。