| 艾滋病传播数学模型的建立与分析 |
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| 引用本文： | 孟庆江,马立新.艾滋病传播数学模型的建立与分析[J].德州学院学报,2007,23(2):35-38. |
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| 作者姓名： | 孟庆江 马立新 |
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| 作者单位： | 德州学院数学系,山东德州,253023 |
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| 摘 要： | 众所周知,艾滋病对中国社会带来了重要的影响.给出了艾滋病的数学模型,并讨论了其解的存在性和稳定性.同时,给出了人口增长与人口流动对艾滋病传播的影响模型,所得结果对我国今后在预防和控制艾滋病的传播方面带来一定的参考价值.
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| 关 键 词： | 艾滋病疾病模型 偏微分方程 潜伏期 稳定性 阈值 |
| 文章编号： | 1004-9444（2007）02-0035-04 |
| 收稿时间： | 2006-06-25 |
| 修稿时间： | 2006年6月25日 |
Analysis and Construction of the Mathematical Model on the Spread of AIDS |
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| MENG Qing-jiang,MA Li-xin.Analysis and Construction of the Mathematical Model on the Spread of AIDS[J].Journal of Dezhou University,2007,23(2):35-38. |
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| Authors: | MENG Qing-jiang MA Li-xin |
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| Institution: | Department of Mathematics, Dezhou University,Dezhou Shandong 253023, China |
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| Abstract: | It is well known the AIDS has a tremendous effect on Chinese society. This paper is about mathematical models of the spread of AIDS. Its existence and stability of solution is also given. Furthermore, we study a model of AIDS with flow and increase of population. The data are helpful to control and prevent the transmission of AIDS. |
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| Keywords: | AIDS epidemic partial differential equation stability latent period threshold |
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