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免疫系统中HIV感染模型的动力学分析 被引量:5

Dynamical analysis of HIV infection model on the immune system
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摘要 目的构建描述免疫系统中 HIV感染 THC的前中期数学模型。方法利用微分方程定性理论对模型平衡点的稳定性进行分析。结果得到一个能预言 HIV感染最终结果的充分条件 ,弥补了文献 [2 ]的不足。结论 HIV病毒体感染的最终结果与免疫系统的抵御能力、病毒体的进攻能力和 THC的总量有密切关系。 ObjectiveTo present a mathematical model of HIV infection. MethodsStability of the equilibrium was obtained by Qualitative Theory of Ordinary Differential Equations. ResultsThe sufficient conditions that can predict the ultimate outcome of the HIV infection was obtained, make up the shortage of literature [2]. Conclusion The ultimate outcome of the HIV infection has close connect with the defensive of the immune system, the offensive strength of HIV and the total of THC. [
出处 《免疫学杂志》 CAS CSCD 北大核心 2000年第2期152-154,共3页 Immunological Journal
关键词 HIV感染 THC密度 平衡点 艾滋病 HIV infection THC density equilibrium global asymptotic stability
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参考文献2

  • 1漆安慎,免疫的非线性模型,1998年,5页
  • 2张锦炎,常微分方程几何理论和分支问题,1987年,146页

同被引文献27

  • 1贾泰元.六味地黄丸的免疫调节作用[J].中成药,1994,16(9):34-35. 被引量:37
  • 2李萍 石晓宏 等.六味地黄丸及地黄的免疫药理研究[J].中国中国免疫学杂志,1987,3(5):296-8.
  • 3RogerAHorn CharlesRJohnson著 杨奇译.矩阵分析[M].北京:机械工业出版社,2005..
  • 4Kramer I.Modeling the Dynamical Impact of HIV on the Immune System:Viral Clearnce,Infection,and AIDS[J].Mathematical and Computer Modeling,1999,29:27.
  • 5DM Bortz,P W Nelson.Model Selection and Mixed-Effects Modeling of HIV Infection Dynamics[J].Bulletin of Mathematical Biology,2006,68:2006-2008.
  • 6Xia XZ,Treanor J,Senaldi G,et al.J Exp Med,2000,192(1):137- 144
  • 7Perelson A, Nelson P W. Mathematical analysis of HIV-1 dynamics in vivo [ J ]. Society for Industrial and Applied Mathematics, 1999,41 ( 1 ) :3-44.
  • 8Wang K, Wang W, Liu X. Viral infection model with peri- odic lytic immune response [ J ]. Chaos, Solitons & Frac- tals,2006,28 ( 1 ) :90-99.
  • 9Zhu Huiyan,Luo Yang, Chen Meiling. Stability and Hopf bifurcation of HIV infection model with CTL-response delay [ J ]. Computers and Mathematics with Applica- tions, 2011,62 (9) : 3091-3102.
  • 10Smith R J,Wahl L M. Drug resistance in an immunologi- cal model of HIV-1 infection with impulsive drug effects [ J ]. Bulletin of Mathematical Biology, 2005,67 ( 4 ) : 783-813.

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