演讲人Speaker：    袁沅

题目Title: A periodic disease transmission model with asymptomatic carriage and latency periods

时间Date： 2019  年  12月 9 日       Time：15:00-16:00

地点Venue：  A 栋  308 室

内容摘要

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 R_0 for the model and present numerical algorithm to calculate it. We obtain the global attractivity of the disease-free state when R_0<1 and discuss the disease persistence when 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 R_0.

个人简介(About the speaker):

袁沅，1984年于武汉大学获得学士学位，1988年于中南大学获得硕士学位，2002年于加拿大西安大略大学（University of Western Ontario）获得博士学位。2002年荣获NSERC（加拿大国家自然科学基金）资助在滑铁卢大学(University of Waterloo)做短暂博士后研究，随后于2002年9月起受聘于加拿大纽芬兰纪念大学（Memorial University of Newfoundland）至今，现为该校数学与统计系终身正教授和博士生导师。

袁教授主要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。现已在SIAM Journal of Applied Mathematics, Journal of Mathematical Biology, Journal of Mathematical Analysis and Applications, Journal of Differential Equations, Nonlinear Analysis: Real World Applications, SIAM Journal on Applied Dynamical Systems等主要应用数学及生物数学杂志发表论文近六十篇。研究成果深受同行好评及引用，研究一直受到加拿大NSERC的资助。