| 一类具有吸收效应的HIV-1病毒动力学模型的全局稳定性 |
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| 引用本文： | 田晓红,徐瑞. 一类具有吸收效应的HIV-1病毒动力学模型的全局稳定性[J]. 军械工程学院学报, 2013, 0(4): 71-74 |
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| 作者姓名： | 田晓红 徐瑞 |
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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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| 基金项目： | 国家自然科学基金项目（11071254,11371368）;河北省青年科学基金项目（A2013506012） |
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| 摘 要： | 研究一类具有吸收效应的HIV-1病毒感染动力学模型．通过构造适当的Lyapunov函数证明当基本再生数〈1时，未感染平衡点是全局渐近稳定的；当基本再生数〉1时，给出病毒感染平衡点全局渐近稳定的充分条件．
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| 关 键 词： | HIV-1病毒感染模型 吸收效应 全局稳定性 |
Global Stability of a HIV--1 Virus Infection Model with Absorption |
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| TIAN Xiao-hong,XU Rui. Global Stability of a HIV--1 Virus Infection Model with Absorption[J]. Journal of Ordnance Engineering College, 2013, 0(4): 71-74 |
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| Authors: | TIAN Xiao-hong XU Rui |
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| Affiliation: | (Basic Courses Department, Ordnance Engineering College, Shijiazhuang 050003, China) |
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| Abstract: | In this paper, a HIV--1 virus infection model with absorption is studied. By constructing a suitable Lyapunov functions,it is shown that the infection-free equilibrium is globally asymptotically stable when the basic reproduction number is less than unity. When the basic reproduction number is greater than unity, sufficient conditions are derived for the global stability of the virusinfected equilibrium. |
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| Keywords: | HIV-- 1 virus infection model absorption global stability |
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