报告题目：Global analysis of a viral model with both cell-free and cell-to-cell infection modes

报告人：陈玉明 教授 （加拿大罗瑞尔大学）

报告时间：2018年11月07日（周三） 晚上20:00

报告地点：复杂系统研究所报告厅

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. This a joint work with Prof. Hongying Shu and Prof. Lin Wang.

报告人简介: 陈玉明分别于1991 年和1994 年从北京大学获应用数学学士学位和硕士学位，并于2000 年从加拿大约克大学（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)。现为该校数学系正教授、博士生导师。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 MathematicalSociety, Nonlinearity, Journal of Differential Equations, Physica D, Proceedings of the AmericanMathematical Society， Mathematical Biosciences, Neural Networks 等国际著名刊物发表论文百余篇，其成果被同行广泛引用，曾获安大略省科技与创新部早期研究者奖。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，参与了3 项中国国家自然科学基金面上项目。积极参与高质量人才如硕士生、博士生、博士后的培养。陈教授与中国学者有广泛交流与合作。