报告题目：Effects of Human Movement on Infection Size

报告人：高道舟 教授

报告时间：2020年10月24日（周六）10:00—11:30    

报告地点：腾讯会议ID: 601 661 207

报告摘要：In this talk, based on an SIS patch model with standard incidence, we first show that the basic reproduction number of is either strictly decreasing and strictly convex with respect to the diffusion coefficient of infected subpopulation if the patch reproduction numbers of at least two patches in isolation are distinct or constant otherwise. Biologically, it means that fast diffusion of the infected people reduces the risk of infection. This completely solves and generalizes a conjecture by Allen et al. (SIAM J Appl Math, 67: 1283-1309, 2007). Then we give some general results on the number of infections over all patches and disease prevalence in each patch at the endemic equilibrium. For the two-patch submodel, a complete classification of the model parameter space as to whether dispersal is beneficial or detrimental to disease control is obtained. Particularly, fast diffusion decreases the basic reproduction number but may increase the total infection size, highlighting the necessity of evaluating control measures with other quantities besides the basic reproduction number.

个人简介：高道舟，上海师范大学数学系教授。2012年5月获得迈阿密大学博士学位。2012/06-2015/11，在加州大学旧金山分校（UCSF）从事博士后研究，2015年入选上海市特聘教授（东方学者）。主要研究领域为数学传染病学和种群生态学，在SIAM J Appl Math, J Math Biol, Proc Amer Math Soc, Am J Trop Med Hyg, Bull Math Biol, Math Biosci, Sci Rep等期刊发表学术论文40余篇，先后主持国家自然科学基金项目2项和上海市自然科学基金项目1项，研究成果被CTV（加拿大电视网）、O Globo（巴西《环球报》）、El Comercio（秘鲁《商报》）、ScienceDaily、SIAM news、果壳网等媒体所报道。担任SCI期刊Math Biosci Eng编委和30多份国际期刊审稿人，曾受邀并获全额资助参加世界卫生组织专家评审会议。

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