报告题目：A periodic disease transmission model with asymptomatic carriage and latency periods.
报告人：袁沅 教授
报告时间：2019年9月17日 星期二 上午9:00-10:00
报告地点:培训楼N406
主持人：刘文军 教授
摘要：
In this talk, the global dynamics of a periodic disease transmission model with two delays in incubation and asymptomatic carriage periods is investigated.
We first derive the model system with a general nonlinear incidence rate function by stage-structure. Then, we identify the basic reproduction ratio $\mathcal{R}_0$ for the model and present numerical algorithm to calculate it. We obtain the global attractivity of the disease-free state when $\mathcal{R}_0<1 $ and discuss the disease persistence when $\mathcal{r}_0>1$. We also explore the coexistence of endemic state in the nonautonomous system and prove the uniqueness with constants coefficients. Numerical simulations are provided to present a case study regarding the meningococcal meningitis disease transmission and discuss the influence of carriers on $\mathcal{R}_0$.
报告人简介：
袁沅，加拿大纽芬兰纪念大学（Memorial University of Newfoundland）终身正教授、博士生导师。2002年于加拿大西安大略大学（University of Western Ontario）获得博士学位。研究方向包括非线性动力系统的稳定性及分支分析、时滞微分方程及其在神经网络和生物数学等的应用、微分方程的符号及数值计算方法。在SIAM Journal of Applied Mathematics, SIAM Journal on Applied Dynamical Systems，Journal of Differential Equations, Journal of Mathematical Biology, Journal of Mathematical Analysis and Applications, Nonlinear Analysis: Real World Applications,等主要应用数学及生物数学杂志发表论文近六十篇。
数学与统计学院
2019年9月12日
