| 一类具有免疫时滞的HIV感染模型分析 |
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| 引用本文： | 王永昭,黄东卫,张双德,刘鸿杰. 一类具有免疫时滞的HIV感染模型分析[J]. 天津工业大学学报, 2011, 30(3): 76-80 |
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| 作者姓名： | 王永昭 黄东卫 张双德 刘鸿杰 |
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| 作者单位： | 1. 天津工业大学理学院,天津,300160
2. 武警医学院基础部,天津,300162 |
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| 基金项目： | 国家自然科学基金重点项目，中国人民武装警察部队科研资助项目 |
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| 摘 要： | 研究了一类具有CD4+T细胞完全Logistic增殖和免疫时滞的HIV感染模型,分析了未感染平衡点的全局稳定性,并给出了感染平衡点产生Hopf分支的充分条件.数值模拟证明了主要的分析结果,并且观察到了CD4+免疫细胞增殖率对系统动力学行为的影响.
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| 关 键 词： | Hopf分支 免疫时滞 HIV 感染模型 Logistic增殖 |
Analysis of a HIV infection model for delayed immune response |
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| WANG Yong-zhao,HUANG Dong-wei,ZHANG Shuang-de,LIU Hong-jie. Analysis of a HIV infection model for delayed immune response[J]. Journal of Tianjin Polytechnic University, 2011, 30(3): 76-80 |
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| Authors: | WANG Yong-zhao HUANG Dong-wei ZHANG Shuang-de LIU Hong-jie |
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| Affiliation: | 1(1.School of Science,Tianjin Polytechnic University,Tianjin 300160,China;2.Basic Department,Medical College of Chinese People′s Armed Police Force,Tianjin 300162,China) |
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| Abstract: | An HIV model with full Logistic proliferation of CD4+ T-cells and retarded immune response is investigated,global asymptotic stability of the infectio-free equilibrium is analyzed,and the sufficient conditions of existence of Hopf bifurcation around infected equilibrium are studied.Numerical simulating are presented to illustrate the main analytic results,and the effects of the proliferation rate of CD4+ T-cells for the dynamics of system are observed. |
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| Keywords: | Hopf bifurcation retarded immune response HIV infection model Logistic proliferation. |
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