关于举行阮士贵教授学术报告的通知

报告题目：Bifurcation in Semilinear Equations with Non-dense Domain with Applications to the Transmission Dynamics of Influenza

报 告 人：阮士贵 教授（美国迈阿密大学）

报告时间： 2015年6月4日下午4:00-5:00

报告地点：4号楼 4318室

欢迎广大师生参加。              

                                          数学学院

                                2015年5月27日

报告摘要：In this talk, we present an age-structured type evolutionary epidemiological model of influenza A drift, in which the susceptible class is continually replenished because the pathogen changes genetically and immunologically from one epidemic to the next, causing previously immune hosts to become susceptible. Applying our recent established center manifold theory for semilinear equations with non-dense domain, we show that Hopf bifurcation occurs in the model. This demonstrates that the age-structured type evolutionary epidemiological model of influenza A drift has an intrinsic tendency to oscillate due to the evolutionary and/or immunological changes of the influenza viruses. We will also briefly talk about modeling the H1N1 influenza A pandemic in 2009 and the H7N9 avian influenza A outbreak in China in 2013.