Original Articles: Stability analysis for a fractional differential model of HIV infection of CD4+ T-cells with time delay

Original Articles: Stability analysis for a fractional differential model of HIV infection of CD4+ T-cells with time delay
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DOI:
10.1016/j.matcom.2012.01.004
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发表时间:
2012-05
影响因子:
4.6
通讯作者:
Ye Yan;C. Kou
Ye Yan;C. Kou
中科院分区:
数学3区
文献类型:
--
作者:
Ye Yan;C. Kou

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在本文中,我们引入分数阶导数的CD 4 + T细胞的HIV感染的时滞模型。我们处理的稳定性的病毒免费的平衡和感染的平衡。在一定条件下,给出了两个平衡点对所有时滞渐近稳定的判据。数值模拟进行说明的结果。
In this paper, we introduce fractional-order derivatives into a model of HIV infection of CD4+T-cells with time delay. We deal with the stability of both the viral free equilibrium and the infected equilibrium. Criteria are given to ensure that both the equilibria are asymptotically stable for all delay under some conditions. Numerical simulations are carried out to illustrate the results.