报告题目：Dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate

报告人：杨瑜

报告时间：2022年6月24日18：30-21：30

腾讯会议ID：283-839-579

报告摘要：This paper is concerned with the dynamics of a waterborne pathogen model with spatial heterogeneity and general incidence rate. We first establish the wellposedness of this model. Then we clarify the relationship between the local basic reproduction numberand the basic reproduction number . It could be seen thatplays an important role in determining the global dynamics of this model. In fact, we show that the disease-free equilibrium is globally asymptotically stable when . If , then the disease-free equilibrium is globally asymptotically stable under some assumptions. In addition, the phenomena of uniform persistence occurs when . We also consider the local and global stability of endemic equilibrium when all the parameters of this model are constant. In the case , we further establish the existence of traveling wave solutions of this model. Moreover, we provide an example and numerical simulations to support our theoretical results.

报告人简介：杨瑜，男，上海交通大学理学博士，目前在上海立信会计金融学院工作。主要研究方向是微分方程与动力系统及其在生物数学模型中的应用。2013-2014年在美国迈阿密大学数学系进行学术访问。2017-2018年在上海交通大学数学科学学院进行学术访问。2017年入选浙江省中青年学科带头人。先后在国内外权威刊物上发表学术论文40余篇。已完成国家自然科学基金和浙江省自然科学基金项目共2项。

邀请人：王连文

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