陈玉明教授的学术报告

发布时间:2017年12月12日 作者:唐颖   消息来源:业务办    阅读次数:[]

陈玉明教授的学术报告

报告题目:Threshold dynamics of an SIRI epidemic model with infection age and nonlinear incidence

报告人:加拿大Wilfrid Laurier大学陈玉明教授

报告时间:2017年12月13日下午3:00-5:30

报告地点:数学楼1楼小报告厅(145#)

内容摘要:

In this talk, we propose and analyze an SIRI epidemic model infection age and a general nonlinear incidence rate. Established is a threshold dynamics determined by the basic reproduction number R0. Roughly speaking, if R0 < 1 then the disease-free steady state is globally asymptotically stable while if R0 > 1 then the endemic steady state is globally asymptotically stable. The global attractivity for the steady states are obtained by employing the fluctuation lemma and the approach of Lyapunov functionals. Our results imply that decreasing the initial transmission rate and drawing up efficient prevention ways play a much more important role on controlling the disease spread than increasing the total treatment rate. The obtained theoretical results are illustrated with numerical simulations, which also indicate that infection age is an important factor affecting the epidemic spread. This is a joint work with Junyuan Yang and Toshikazu Kuniya.



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