Global analysis of a viral model with both cell-free and cell-to-cell infection modes

讲座时间 Datetime: 

星期四, 2019/07/04 - 从 16:30 到 17:30

地点 Venue: 

海滨红楼6号楼1楼会议室

报告人 Speaker: 

陈玉明 教授

单位 Affiliation: 

加拿大罗瑞尔大学

报告摘要 Abstract: 

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 de-

lays, nonlinear incidences, and concentration-dependent clearance rates. Under some reasonable

assumptions, the model exhibits a global threshold dynamics. Two specific examples are pro-

vided 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 im-

pacts 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.

病毒可以通过两种方式在未感染的靶细胞间传播，即扩散

-有限的无细胞病毒传播和使用病毒学突触的直接细胞间转移。在本文结合这两种模式，提出并分析了一种通用的病毒感染模型。该模型还包括非线性目标细胞动力学，无限分布的细胞内去核层，非线性发生率和浓度依赖清除率。在一些合理的假设条件下，该模型表现出全局阈值动力学。两个具体的例子说明，我们的理论成果不仅涵盖了现有的一些研究成果，而且对现有的一些研究成果进行了改进。当基本假设不满足时，通过全局Hopf分岔可以观察到振荡。采用双参数分岔分析方法研究了节点间的相互作用。非线性靶细胞动力学与细胞内相互作用对病毒动力学的影响两种感染模式之间的延迟。这是与舒洪英教授和王林教授合作的工作。