| 牟科委,朱惠延*.具CTL免疫反应的HollingⅡ型HIV模型的稳定性分析[J].南华大学学报(自然科学版),2011,25(1):61~66.[MOU Ke-wei,ZHU Hui-yan*.Stability Analysis of an HIV Infection Model with CTL Immune Response and HollingⅡ Functional Response[J].Journal of University of South China(Science and Technology),2011,25(1):61~66.] |
| 具CTL免疫反应的HollingⅡ型HIV模型的稳定性分析 |
| Stability Analysis of an HIV Infection Model with CTL Immune Response and HollingⅡ Functional Response |
| 投稿时间：2010-10-27 |
| DOI： |
| 中文关键词: HIV模型 HollingⅡ功能反应函数 稳定性 免疫反应 |
| 英文关键词:HIV infection model Holling Ⅱ functional response stability immune response |
| 基金项目:国家自然科学基金资助项目(11071060);湖南省科技厅基金资助项目(2010GK3013);南华大学博士科研启动基金资助项目(5-XQD-2006-8);南华大学留学回国人员科研启动基金资助项目(2007XQD14)；湖南省自然科学省市联合基金资助项目（11AF002B） |
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| 中文摘要: |
| 考虑了一类具CTL免疫反应的HIV四维数学模型，研究了该模型无病毒平衡点、感染无免疫平衡点的全局渐近稳定性以及感染免疫平衡点的局部渐近稳定性.最后用数值模拟验证了理论结果. |
| 英文摘要: |
| In this paper,a model of HIV infection model with CTL immune response and HollingⅡ functional response is considered.Then,the global asymptotic stability of the viral free equilibrium and the CTL-absent infection equilibrium are discussed in details.Furthermore,the local asymptotic stability of the CTL-present infection equilibrium is also discussed.Finally,some numerical simulations are given to support the obtained theoretical results. |
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