| 一类具有Beddington-DeAngelis型功能反应函数的HIV病毒动力学系统模型的稳定性 |
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| 引用本文： | 侯博阳,马万彪.一类具有Beddington-DeAngelis型功能反应函数的HIV病毒动力学系统模型的稳定性[J].数学的实践与认识,2009,39(12). |
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| 作者姓名： | 侯博阳 马万彪 |
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| 作者单位： | 1. 北京科技大学应用科学学院数力系,北京,100083;Northeastern University,Boston 02115,USA
2. 北京科技大学应用科学学院,数力系,北京,100083 |
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| 摘 要： | 基于Nowak等于1996年提出的一类经典的HIV病毒动力学模型,考虑了一类具有Beddington-DeAngelis功能反映函数的HIV病毒动力学模型,并研究了无病毒平衡点的全局稳定性与感染平衡点的局部稳定性等.
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| 关 键 词： | HIV病毒动力学模型 Beddington-DeAngelis功能反映函数 渐近稳定性 Liapunov-LaSalle不变性原理 |
Stability Analysis of An HIV-1 Infection Model with Beddington-DeAngelis Functional Response |
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| HOU Bo-yang,MA Wan-biao.Stability Analysis of An HIV-1 Infection Model with Beddington-DeAngelis Functional Response[J].Mathematics in Practice and Theory,2009,39(12). |
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| Authors: | HOU Bo-yang MA Wan-biao |
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| Abstract: | Based on the classic HIV infection model proposed by Nowak et al(Science,1996,272,74-79) and some biological meanings,the paper considers a class of HIV-1 infection model with Beddington-DeAngelis functional response.Then,the local asymptotic stability of the viral free equilibrium and the infected equilibrium are discuseed in details.Furthermore,by Liapuvov-LaSalle invariance principle,the global asymptotic stability of the viral free equilibrium is also discussed.Finally,some numerical simulations are also given. |
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| Keywords: | HIV-1 infection model Beddington-DeAngelis functional response asymptotic stability Liapunov-LaSalle invariance principle |
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