报告题目：Threshold Dynamics of a Nonlocal and Delayed Cholera Model in a Spatially Heterogeneous Environment

主 讲 人：舒洪英

单 位：陕西师范大学

时 间：12月13日9:00

腾 讯 ID：683-143-251

密 码：80740

摘 要：

A nonlocal and delayed cholera model with two transmission mechanisms in a spatially heterogeneous environment is derived. We introduce two basic reproduction numbers of environment and infection, respectively. If the basic reproduction number of environment is strictly less than one and the basic reproduction number of infection is no more than one, we prove globally asymptotically stability of the infection-free steady state. Otherwise, the infection will persist and there exists at least one endemic steady state. For the special homogeneous case, the endemic steady state is actually unique and globally asymptotically stable. Under some conditions, the basic reproduction number of infection is strictly decreasing with respect to the diffusion coefficients of susceptible and infectious hosts. When these conditions are violated, numerical simulation suggests that spatial diffusion may not only spread the infection from high-risk region to low-risk region, but also increase the infection level in high-risk region.

简 介：

舒洪英，2010年获哈尔滨工业大学博士学位。2008年在加拿大阿尔伯塔大学留学两年，2011年至2014年先后在加拿大新不伦瑞克大学、加拿大瑞尔森大学和约克大学任AARMS博士后研究员。2014年至2018年任职同济大学特聘研究员，博士生导师。2018年至今任陕西师范大学特聘教授，博士生导师。2016年获上海市浦江人才计划，2017年获陕西省百人计划。主持2项国家自然科学基金项目，1项上海市自然科学基金项目和1项加拿大科研基金项目。主要研究微分动力系统及生物数学方面的应用。已发表SCI收录论文30余篇，分别发表在J. Math. Pures Appl.，Journal of Differential Equations，SIAM Journal of Applied Mathematics，Nonlinearity，Journal of Dynamics and Differential Equations，Journal of Mathematical Biology，Bulletin of Mathematical Biology等SCI期刊上。