| 具有桥梁人群的HIV模型的研究 |
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| 引用本文： | 蔡磊,庄需芹,张建国. 具有桥梁人群的HIV模型的研究[J]. 数学的实践与认识, 2010, 40(14) |
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| 作者姓名： | 蔡磊 庄需芹 张建国 |
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| 摘 要： | 研究了具有桥梁人群(从事性服务的女性静脉吸毒者)的艾滋病模型.在桥梁人群内部建立一个DI模型.通过定性分析,证明了各类平衡点的稳定性,从而判断艾滋病流行与否.
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| 关 键 词： | 传染病模型 DI模型 局部渐近稳定性 全局渐近稳定性 M矩阵理论 |
The Study of Hiv Models with Bridge-People |
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| CAI Lei,ZHUANG Xu-qin,ZHANG Jian-guo. The Study of Hiv Models with Bridge-People[J]. Mathematics in Practice and Theory, 2010, 40(14) |
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| Authors: | CAI Lei ZHUANG Xu-qin ZHANG Jian-guo |
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| Abstract: | This paper studies the model of Aids with bridge-people.We formulate a DI model of Bridge-people and analyze the stability of the boundary equilibrium and epidemic equiUbrium.At last we obtain the conclusion whether the Aids could prevail. |
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| Keywords: | epidemic model DI model local asymptotic stability global asymptotic stability M-matrix theory |
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