Global analysis of a viral model with both cell-free and cell-to-cell infection modes
报告人：陈玉明
报告地点：数学与统计学院515室
报告时间：2017年10月17日星期二15:30-16:30
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报告摘要：
Virus 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 to investigate the impact of these two modes on the viral dynamics. 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 cover and 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.
主讲人简介：
陈玉明教授于2000年在加拿大约克大学获理学博士学位,自2001年至今任教于加拿大劳里埃大学数学系，先后担任助理教授、副教授(2006)、正教授(2014)。陈玉明教授研究领域包括泛函微分方程、动力系统、神经网络、矩阵和张量分析以及生物数学等, 在SIAM J. Math. Anal.、Trans. Amer. Math. Soc.、J. Diff. Eqs.、J. Math. Biol.等国际一流学术期刊发表论文百余篇。他在抽象时滞微分方程理论、具对称性动力系统、状态依赖时滞微分方程及其在种群动力学、神经网络和格动力系统等领域的应用研究领域做出的研究具有广泛国际影响力，在时滞反应扩散方程动力学方面研究也作出了重要研究，许多文章成为这一领域内的经典文献，是国际动力系统领域的知名专家。
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