报告题目：A Periodic Disease Transmission Model with Asymptomatic Carriage and Latency Periods

报告人：加拿大纽芬兰纪念大学 袁沅教授

报告时间：2018年10月27日8:30-11:30

报告地点：数学馆金融实验室

报告内容摘要：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 attractively 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 $R_0$.