| 一类具免疫时滞的HIV模型的动力学性态分析 |
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| 引用本文： | 李云飞,徐瑞,毛书学.一类具免疫时滞的HIV模型的动力学性态分析[J].军械工程学院学报,2011(3):72-78. |
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| 作者姓名： | 李云飞 徐瑞 毛书学 |
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| 作者单位： | 军械工程学院基础部,河北石家庄050003 |
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| 摘 要： | 研究一类具有时滞和免疫反应的HIV模型。首先通过分析特征方程研究了平衡点的局部稳定性以及Hopf分支的存在性。然后利用规范型理论和中心流行理论得到了确定Hopf分支方向和分支周期解稳定性的计算公式。接着讨论了无病平衡点的全局稳定性。最后通过数值模拟说明了所得理论结果。
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| 关 键 词： | 时滞 免疫反应 HIV模型 Hopf分支 稳定性 |
Dynamics Analysis of an HIV Model with Delay in Immune Response |
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| LI Yun-fei,XU Rui,MAO Shu-xue.Dynamics Analysis of an HIV Model with Delay in Immune Response[J].Journal of Ordnance Engineering College,2011(3):72-78. |
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| Authors: | LI Yun-fei XU Rui MAO Shu-xue |
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| Institution: | (Department of Basic Course,Ordnance Engineering College,Shijiazhuang 050003,China) |
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| Abstract: | In this paper,an HIV model with time delay and immune response is investigated.The local stability of equilibrium and the existence of Hopf bifurcation are discussed by analyzing the corresponding characteristic equation.Then,based on the normal form theory and center manifold,we get the formulas for determining the direction of Hopf bifurcation and the stability of bifurcated periodic solutions.And then the global asymptotic stability of the disease-free equilibrium is discussed.Finally,numerical simulations are carried out to illustrate the theoretical results. |
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| Keywords: | time delay immune response HIV model Hopf bifurcation stability |
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