An HBV model with diffusion and time delay
An HBV model with diffusion and time delay
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具有扩散和时间延迟的 HBV 模型
DOI：
10.1016/j.jtbi.2009.01.001
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发表时间：
2009-04-07
影响因子：
2
通讯作者：
Ma, Zhien
中科院分区：
文献类型：
--
作者：
Xu, Rui;Ma, Zhien
本文研究了一类具有空间扩散和饱和反应的乙肝病毒感染模型，其中细胞内潜伏期由离散时滞来描述。通过分析相应的特征方程，讨论了感染稳态和非感染稳态的局部稳定性。通过比较论证，证明了当基本再生数小于1时，无感染平衡态是全局渐近稳定的。当基本再生数大于1时，通过逐次修改耦合的上下解对，得到了感染平衡态全局稳定的充分条件。数值模拟结果验证了主要结果的正确性。(C)2009爱思唯尔有限公司。保留所有权利。
In this paper, a hepatitis B virus (HBV) model with spatial diffusion and saturation response of the infection rate is investigated, in which the intracellular incubation period is modelled by a discrete time delay. By analyzing the corresponding characteristic equations, the local stability of an infected steady state and an uninfected steady state is discussed. By comparison arguments, it is proved that if the basic reproductive number is less than unity, the uninfected steady state is globally asymptotically stable. If the basic reproductive number is greater than unity, by successively modifying the coupled lower-upper solution pairs, sufficient conditions are obtained for the global stability of the infected steady state. Numerical simulations are carried out to illustrate the main results. (C) 2009 Elsevier Ltd. All rights reserved.