An age-structured virus model with two routes of infection in heterogeneous environments
An age-structured virus model with two routes of infection in heterogeneous environments
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DOI：
10.1016/j.nonrwa.2017.07.013
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发表时间：
2018-02-01
影响因子：
2
通讯作者：
Takeuchi, Yasuhiro
中科院分区：
文献类型：
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作者：
Cheng, Chang-Yuan;Dong, Yueping;Takeuchi, Yasuhiro
基于人体的复杂性，我们通过使用双室模型来探索病毒动力学，该模型结合了感染细胞的年龄以及病毒对细胞的感染和细胞对细胞的传播途径。该系统的基本繁殖数R-0由两种机制确定：一种是一个隔室中单一感染途径的潜在触发，另一种是两个隔室中病毒感染的协同效应。因此，我们证明了当R-0 < 1时，无感染平衡是全局渐近稳定的，而当R-0 < 1时，病毒相对于初始感染是一致持续的。从一个主要感染路径与另一个轻微感染路径合并的观点出发，我们通过应用全局稳定稳态的摄动理论证明了感染平衡点的全局收敛性。(C) 2017 Elsevier Ltd.版权所有。
On the basis of the complexity of the human body, we explore viral dynamics by using a two-compartment model incorporating the age since infection of infected cells and both virus-to-cell infection and cell-to-cell transmission routes. The basic reproduction number, R-0, of the system is formulated from two mechanisms: one is the potential trigger from a single infection route in a compartment and the other is the synergistic effect of a viral infection in two compartments. Accordingly, we prove that the infection-free equilibrium is globally asymptotically stable (GAS) if R-0 < 1, whereas virus persists uniformly with respect to the initial infection if R-0 > 1. From the viewpoint of a predominant infection route incorporated with another mild infection route, we demonstrate global convergence to the infected equilibrium by applying a theory of perturbation on the globally stable steady state. (C) 2017 Elsevier Ltd. All rights reserved.