“数理论坛”第69期：A Periodic Disease Transmission Model with Asymptomatic Carriage and Latency Periods

报告人：袁沅教授，加拿大纽芬兰纪念大学（Memorial University of Newfoundland）

时间：11月12日（周一）15:30--16:30

地点：东区教学科研综合楼A座1404

报告人简介：袁沅，加拿大纽芬兰纪念大学（Memorial University of Newfoundland）教授, 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年受NSERC资助曾在滑铁卢大学(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正教授和博士生导师。

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等主要应用数学杂志发表论文近五十篇。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。袁教授现为“山西省百人计划”入选者。

报告摘要：In this talk, we investigate the global dynamics of a periodic disease transmission model with two delays in incubation and asymptomatic carriage periods. 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 $R_0$.

邀请人：黄刚教授

欢迎各位老师、研究生及高年级同学参加！