报告题目：Rich dynamics in a delayed HTLV-I infection model: stability switch, multiple stable cycles, and torus

报告人：陈玉明 教授 (Wilfrid Laurier University)

报告时间：2018年6月6日（周三） 上午10:00

报告地点：复杂系统研究所报告厅

报告摘要：In this joint work with Xuejun Pan and Professor Hongying Shu, we investigate the impact of time delay in CTL immune response on an HTLV-I infection model. We use the basic reproduction number for viral infection R0 and the basic reproduction number for CTL response RCTL to characterize the model dynamics. In particular, we obtain the global dynamics when R0 _ 1 or RCTL _ 1 < R0, as well as infection persistent result when R0 > 1. However, the model dynamics become very rich when RCTL > 1. In this case, we use the time delay as a bifurcation parameter to obtain stability switch result on the positive equilibrium and global bifurcation diagrams for the model system. We also conduct higher-order normal form analysis and apply center manifold theory to classify the rich model dynamics near double Hopf bifurcation points. Our analysis indicates that time delay in CTL immune response can induce not only Hopf bifurcation and double Hopf bifurcation, but also quasi-periodic orbits (torus) and coexistence of multiple stable periodic solutions.

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2001 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。

陈玉明教授做报告