報告題目：一個具有兩種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
報告時間🦜😽：2018年7月3日（星期二）下午13:30-14:30
報告地點♛：必一体育平台二樓會議室
報告人：陳玉明，加拿大Wilfrid Laurier University教授。先後分別於1991 年和1994 年在北京大學獲應用數學學士學位和碩士學位，於2000 年在加拿大約克大學（York University）獲理學博士學位，2000 年9 月至2001 年6月在加拿大阿爾伯塔大學（University of Alberta）做博士後。從20001 年7 月起，一直任教於加拿大羅瑞爾大學(Wilfrid Laurier University)。主要研究興趣為動力系統和泛函微分方程理論及其在生物數學和神經網絡中的應用。已在包括 SIAM Journal on Mathematical Analysis, Transactions on the American Mathematical Society, Nonlinearity等國際著名刊物發表論文百余篇，主持了4 項加拿大國家自然科學與工程理事會(NSERC)科研基金項目🆗🧝🏽。曾獲安大略省科技與創新部早期研究者獎。
報告摘要🏃♂️🧑🏽🎄：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.
歡迎各位老師和同學參加！