报告题目：一个具有两种感染模式的病毒模型的全局分析
Global analysis of a viral model with both cell-free andcell-to-cell infection modes
报告时间：2018年7月3日（星期二）下午13:30-14:30
报告地点：理学院二楼会议室
报告人：陈玉明，加拿大Wilfrid Laurier University教授。先后分别于1991 年和1994 年在北京大学获应用数学学士学位和硕士学位，于2000 年在加拿大约克大学（York University）获理学博士学位，2000 年9 月至2001 年6月在加拿大阿尔伯塔大学（University of Alberta）做博士后。从20001 年7 月起，一直任教于加拿大罗瑞尔大学(Wilfrid Laurier University)。主要研究兴趣为动力系统和泛函微分方程理论及其在生物数学和神经网络中的应用。已在包括 SIAM Journal on Mathematical Analysis, Transactions on the American Mathematical Society, Nonlinearity等国际著名刊物发表论文百余篇，主持了4 项加拿大国家自然科学与工程理事会(NSERC)科研基金项目。曾获安大略省科技与创新部早期研究者奖。
报告摘要：Viruses can disseminate among uninfected target cells via two modes, namely, the diffusion-limited cell-free viral spread and the direct cell-to-cell transfer using virological synapses. In this talk, we propose and analyze a general viral infection model incorporating these two modes. The model also includes nonlinear target-cell dynamics, infinitely distributed intracellular delays, nonlinear incidences, and concentration dependent clearance rates. Under some reasonable assumptions, the model exhibits a global threshold dynamics. Two specific examples are provided to illustrate that our theoretical results not only cover and but also improve some existing ones. When the underlying assumptions are not satisfied, oscillation via global Hopf bifurcation can be observed. Two-parameter bifurcation analyses are carried out to explore the joint impacts on viral dynamics of the interplay between nonlinear target-cell dynamics and intracellular delays and between the two infection modes.
欢迎各位老师和同学参加！