| 具免疫应答和细胞内部时滞的HIV-1感染模型的稳定性分析 |
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| 引用本文： | 曹艳红,朱惠延. 具免疫应答和细胞内部时滞的HIV-1感染模型的稳定性分析[J]. 生物数学学报, 2010, 0(4): 664-674 |
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| 作者姓名： | 曹艳红 朱惠延 |
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| 作者单位： | 南华大学数理学院,湖南衡阳421001 |
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| 基金项目： | 湖南省自然科学基金资助项目（07JJ3001）; 南华大学博士科研启动基金项目（5-XQD-2006-8）;南华大学留学归国基金项目（2007XQD14） |
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| 摘 要： | 考虑了CTLs免疫应答和细胞内部时滞建立HIV-1感染的数学模型.对模型的无感染平衡点全局稳定性进行了分析,对CTLs未激活和CTLs已激活的感染平衡点给出了局部稳定的充分条件.数值模拟支持了得到的理论结果.
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| 关 键 词： | 免疫应答 时滞 稳定 HIV-1感染 |
Stability Analysis of a HIV-1 Infection Model with Cell-mediated Immune Response and Intracellular Delay |
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| CAO Yan-hong,ZHU Hui-yan. Stability Analysis of a HIV-1 Infection Model with Cell-mediated Immune Response and Intracellular Delay[J]. Journal of Biomathematics, 2010, 0(4): 664-674 |
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| Authors: | CAO Yan-hong ZHU Hui-yan |
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| Affiliation: | (School of Mathematics and Physics,Nanhua University,Hengyang Hunan 421001 China) |
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| Abstract: | In this paper,a model for HIV-1 infection with intracellular delay and cell-mediated immune response is coiisidered.The global stability of the infection-free equilibrium is analyzed,and the sufficient conditions of local stability of the CTLs-absent infection equilibrium and CTLs-present infection equilibrium are obtained.We also perform some numerical simulations which support the obtained theoretical results. |
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| Keywords: | Immune response Delay Stability HIV-1 infection |
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