邀请人：万辉副教授
地点：行健楼526
摘要：There are many challenges to quantifying and evaluating theimpact of spatial and temporal heterogeneity oninfectious diseases transmission dynamics. In this talk, we initially proposed a delay differential model, associated with theresponse time for mass media to cover the current infection and for individuals’ behaviorchanges to media coverage. With two time delays, we comprehensivelyinvestigated the local and global bifurcation by considering the summation of delaysas a bifurcation parameter. Main results showthat either the media described feedback cycle, from infection to the level of massmedia and back to disease incidence, or time delays can induce Hopf bifurcation andresult in periodic oscillations. The indicates that the delayed media impactleads to a richer dynamics that may significantly affect the disease infections. We then proposed a SEIRS-type reaction-diffusion model to examine the spatialheterogeneity and obtained the basic reproduction number (R0), which is connected with the principal eigenvalue of a linear cooperative elliptic system. Threshold-type results on the global dynamics in terms of R0are established. The monotonicity of R0with respect to the diffusion rates of the exposed and infected individuals is established in several cases.This is joint work Dr Pengfei Song, Prof Yuan Lou, Prof Changcheng Xiang and etc.
报告人简介：肖燕妮，西安交通大学数学与统计*女王调教-女王调教视频-女王 调教小说副院长、数学与生命科学交叉研究中心主任、博士生导师。主要从事数据和问题驱动的传染病动力学的研究。参与完成了国家“十一五”、“十二五”和“十三五”科技重大专项艾滋病领域的建模研究。与北京同仁医院和中国军事医学科*女王调教-女王调教视频-女王 调教小说合作完成了医院感染动力学的研究。受国家自然基金委天元基金的资助，2014年、2015年连续两年承办全国 “生物数学研究生暑期学校”。 2008入选教育部“新世纪优秀人才支持计划”，2017年至今任中国生物数学专业委员会副主任。主持国家自然科学基金4项，其中重点项目1项。