报告人：Yuan Yuan 教授　　
时　间：2014.05.12（星期一）上午9:00-10:30
地　点：格致中楼503

Abstract：A disease transmission model of SEIRS type with  distributed delays in latent and temporary immune periods is discussed. With general/particular  probability distributions in both of these periods, we address the threshold property of the basic reproduction number R_0 and the dynamical properties  of the disease-free/endemic equilibrium points present in the model. More specifically, we a. show the dependence of R_0 on the probability distribution in the latent period and the independence of R_0 from the distribution of the temporary immunity, b. prove that the disease free equilibrium is always globally asymptotically stable when R_01 and an endemic equilibrium exists with different stability properties. In particular, the endemic steady state is at least locally asymptotically stable if the probability distribution in the temporary immunity is a decreasing exponential function when the duration of the latency stage is fixed or exponentially decreasing. It may become oscillatory under certain conditions when there exists a constant delay in the temporary immunity period. Numerical simulations are given to verify the theoretical predictions.

报告人简介：

Yuan Yuan，博士，加拿大纪念大学教授（Full professor with tenure），在J. Mathematical Biology, SIAM J. Appl. Dyn. Syst.等国际著名刊物发表SCI论文40余篇。