欢迎光临!
您现在所在的位置:首页 >> 通知公告 & 学术信息
学术信息
SEMINARS
A Periodic Disease Transmission Model with Asymptomatic Carriage and Latency Periods
时间  Datetime
2018-05-24 15:00 — 16:00 
地点  Venue
Large Conference Room
报告人  Speaker
Yuan Yuan
单位  Affiliation
Memorial University of Newfoundland, Canada
邀请人  Host
常微动力系统组
报告摘要  Abstract

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 $R_0$.