学术报告-Yuan Yuan

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2018-10-18 08:34:00

学术报告

题      目:高维稀疏网格逼近及其在积分方程、随机微分方程中的应用


报  告  人:Yuan Yuan    (邀请人: 田艳玲)

                                 Department of Mathematics and Statistics Memorial                                          University of Newfoundland


时      间:2018-10-18 16:30--18:00

地      点:学院401

报告人简介:

        Yuan Yuan, 纽芬兰纪念大学数学与统计学院教授. 从2001年起,在国际知名杂志发表论文55篇.研究兴趣为时滞微分方程,神经网络,数学生物学等.


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.