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| 静脉注射吸毒人群HIV／AIDS数学模型分析 | |
| 引用本文： | 韩丽涛,娄洁,阮玉华,邵一鸣.静脉注射吸毒人群HIV／AIDS数学模型分析[J].生物数学学报,2008,23(3):429-434. |
| 作者姓名： | 韩丽涛 娄洁 阮玉华 邵一鸣 |
| 作者单位： | 1. 中国人民大学,信息学院,北京,100872 2. 上海大学,数学系,上海,200444 3. 中国疾病预防控制中心,性病艾滋病预防控制中心,北京,100050 |
| 基金项目： | 囤家自然科学基金，国家科技攻关项目 |
| 摘 要： | 建立了四川省西昌市静脉注射吸毒人群HIV／AIDS传播的数学模型，给出了模型的理论分析和数值模拟结果．通过必要的分析，给出了各类平衡点的存在性和稳定性，系统的一致持续生存，以及基本再生数的数学表达式和具体取值．揭示了该静注人群中的HIV／AIDS有进一步蔓延的趋势，但如果采取适当的干预措施，该静注人群中HIV／AIDS流行可得到有效的控制． |
| 关 键 词： | HIV/AIDS 静脉注射吸毒人群 数学模型 |
The Analysis of the HIV/AIDS Mathematical Model for the Injection Drug Use Population |
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| HAN Li-tao,LOU Jie,RUAN Yu-hua,SHAO Yi-ming.The Analysis of the HIV/AIDS Mathematical Model for the Injection Drug Use Population[J].Journal of Biomathematics,2008,23(3):429-434. | |
| Authors: | HAN Li-tao LOU Jie RUAN Yu-hua SHAO Yi-ming |
| Institution: | HAN Li-tao, LOU Jie,RUAN Yu-hua, SHAO Yi-ming (1 School of Information, Renmin University of China, Beijing 100872 China;2 Department of Mathematics, Shanghai University, Shanghai 200444 China;3 National Center for AIDS/STD Control and Prevention, China Center for Disease Control and Prevention, Beijing 100050 China) |
| Abstract: | A HIV/AIDS mathematical model is formulated for the injection drug use pop- ulation in Xichang of Sichuan province.The theoretical analysis and the numerical simulation are provided.By analysis,the existence and stability results of the equilibria,the uniformly persis- tence of the model and the basic reproductive number,are given.It shows that,the number of HIV infection population is continually increasing.Moreover,The prevalence of HIV/AIDS will be controlled effectively under the appropriate intervention measures. |
| Keywords: | HIV/AIDS Injection drug use population Mathematical model |
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