Threshold dynamics of a nonlocal and delayed cholera model in a spatially heterogeneous environment
报告人:舒洪英
报告地点:数学与统计学院二楼会议室
报告时间:2023年11月25日星期六09:30-10:30
邀请人:范猛
报告摘要:
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.
主讲人简介:
舒洪英,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3项国家自然科学基金项目,包含2项面上和一项青年,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其在生物数学上的应用。发表SCI收录论文40余篇,分别发表在J. Math. Pures Appl., SIAM Journal of Applied Mathematics, Journal of Differential Equations, Nonlinearity, Journal of Dynamics and Differential Equations, Journal of Mathematical Biology,Bulletin of Mathematical Biology 和Journal of Theoretical Biology等SCI期刊上。任美国数学学会MR评论员、欧洲数学学会zbMATH评论员。