Stability of the virus dynamics model with Beddington-DeAngelis functional response and delays
Stability of the virus dynamics model with Beddington-DeAngelis functional response and delays
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DOI：
10.1016/j.apm.2012.10.033
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发表时间：
2013-04-01
影响因子：
5
通讯作者：
Huo, Hai-Feng
中科院分区：
文献类型：
--
作者：
Xiang, Hong;Feng, Li-Xiang;Huo, Hai-Feng
建立了一类具有Beddington-DeAngelis功能反应和时滞的病毒动力学模型.通过对特征方程的分析，得到了该模型的无感染平衡点和慢性感染平衡点的局部稳定性。通过使用适当的李雅普诺夫泛函和LaSalle不变性原理，我们证明了无感染平衡点是全局渐近稳定的，如果R-0 1。数值模拟也给出了解释我们的结果。(C)2012 Elsevier Inc. All rights reserved.
A virus dynamics model with Beddington-DeAngelis functional response and delays is introduced. By analyzing the characteristic equations, the local stability of an infection-free equilibrium and a chronic-infection equilibrium of the model is established. By using suitable Lyapunov functionals and the LaSalle invariance principle, we show that the infection-free equilibrium is globally asymptotically stable if R-0 1. Numerical simulations are also given to explain our results. (C) 2012 Elsevier Inc. All rights reserved.