报告题目：Impacts of the cell-free and cell-to-cell infection modes on viral dynamics 报告人：加拿大Wilfrid Laurier大学陈玉明教授 报告时间：2017年6月16日下午3:30-5:30 报告地点：数学楼1楼小报告厅（145#） 内容摘要： Virus can disseminates among uninfected target cells via two models, 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 models on the viral dynamic. The model also includes nonlinear target-cell dynamics, infinitely distributed intracellular delays, nonlinear incidences, and concentration-dependent clearance rates. Under some reasonable assumption, the model exhibits a global threshold dynamics. Two specific examples are provided 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 of viral dynamics for the interplay between nonlinear target-cell dynamic and intracellular delays and between the two infection models. This a joint with Prof.Hongying Shu and Prof. Lin Wang.