Global dynamics of a PDE in-host viral model
Global dynamics of a PDE in-host viral model
复制标题
PDE 宿主病毒模型的全局动力学
DOI：
10.1080/00036811.2014.955797
复制
发表时间：
2014-11-02
影响因子：
1.1
通讯作者：
Zou, Xingfu
中科院分区：
文献类型：
--
作者：
Wang, Feng-Bin;Huang, Yu;Zou, Xingfu
考虑了一般有界区域上具有空间异质性和齐次Neumann边界条件的体内病毒动力学模型。在假设只有游离病毒扩散而宿主细胞（感染的和未感染的）不是移动的的情况下，该模型在由两个逐点常微分方程和一个偏微分方程组成的意义上是混合的。我们通过分析模型和确定基本再生数来探索病毒动力学。当所有模型参数为常数时，模型的全局动力学完全确定。
We consider an in-host virus dynamics model with spatial heterogeneity on the general bounded domain, and homogenous Neumann boundary condition. Under the assumption that only the free virus diffuse and the host cells (infected and uninfected) are not mobile, the model turns out to be hybrid in the sense that it consists of two point-wise ODEs and an PDE. We explore the virus dynamics by analyzing the model and identifying the basic reproduction number. When all model parameters are constants, the global dynamics of the model are fully determined.