| 恢复率正比于总人数的多传染阶段的艾滋病模型及其性态 |
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| 引用本文： | 刘旭阳.恢复率正比于总人数的多传染阶段的艾滋病模型及其性态[J].数学的实践与认识,2001,31(3):257-263. |
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| 作者姓名： | 刘旭阳 |
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| 作者单位： | 湖北大学数学与计算机科学学院 |
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| 摘 要： | 文 1 ]、2 ]和 3]主要是建立多传染阶段的艾滋病模型 ,并根据各自建立的模型 ,来讨论疾病传染的消除平衡态与流行平衡态以及它们的稳定性 .本文首先对文 3]中的模型作适当的改进 ,再根据改进的数学模型来分析疾病传染的动态性质 ,着重讨论多传染阶段情况下艾滋病传染的持久性及其对总人数的影响 .
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| 关 键 词： | 艾滋病 数学模型 恢复率 一致持久性 |
| 修稿时间： | 1997年7月8日 |
Aids Model and its Property of Multi-Infection Phase with Recovery Ratio Which is in Direct Proportion to Total Number of People |
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| LIU Xu-yang.Aids Model and its Property of Multi-Infection Phase with Recovery Ratio Which is in Direct Proportion to Total Number of People[J].Mathematics in Practice and Theory,2001,31(3):257-263. |
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| Authors: | LIU Xu-yang |
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| Abstract: | Models of multi-infection phase are mainly constructed in theses \, \ and \. Balanced states of vanish and epidemic of disease infection and their stability are discussed according to the constructed model in each thesis. This paper takes appropriate improvement in the model in thesis \ at first, then analyses the dynamic property of disease infection according to inproved mathematical model, enphatically discusses the duration of AIDS infection in case of multi-infection phase and influence to total number of people. |
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| Keywords: | AIDS Mathematical model recovery ratio uniformly duration |
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