OCCURRENCE VS. ABSENCE OF TAXIS-DRIVEN INSTABILITIES IN A MAY-NOWAK MODEL FOR VIRUS INFECTION
OCCURRENCE VS. ABSENCE OF TAXIS-DRIVEN INSTABILITIES IN A MAY-NOWAK MODEL FOR VIRUS INFECTION
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DOI：
10.1137/19m1250261
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发表时间：
2019-01-01
影响因子：
1.9
通讯作者：
Winkler, Michael
中科院分区：
文献类型：
--
作者：
Bellomo, Nicola;Painter, Kevin J.;Winkler, Michael
这项工作的重点是扩展的May-Nowak模型的病毒动力学，另外占扩散的所有组件和chemotactically定向运动的健康细胞的密度梯度在受感染的细胞群体。本文的第一部分提出了一些模拟的目的是调查多远的模型可以描绘有趣的模式。在第二部分中，提出了一个严格的分析的初边值问题，其中一个声明的全球经典可解性任意大的初始数据推导出一个适当的smallness假设的趋化系数。另外两个结果的渐近稳定表明，所谓的基本再生数保留其至关重要的影响大的时间行为的解决方案，是众所周知的结果的May-Nowak系统。
This work focuses on an extension to the May-Nowak model for virus dynamics, additionally accounting for diffusion in all components and chemotactically directed motion of healthy cells in response to density gradients in the population of infected cells. The first part of the paper presents a number of simulations with the aim of investigating how far the model can depict interesting patterns. A rigorous analysis of the initial-boundary value problem is presented in a second part, where a statement on global classical solvability for arbitrarily large initial data is derived under an appropriate smallness assumption on the chemotactic coefficient. Two additional results on asymptotic stabilisation indicate that the so-called basic reproduction number retains its crucial influence on the large time behavior of solutions, as is well-known from results on the May-Nowak system.