| 一类具有垂直传染和预防接种的SEIR传染病模型的定性分析 |
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| 引用本文： | 杨建雅,张凤琴.一类具有垂直传染和预防接种的SEIR传染病模型的定性分析[J].数学的实践与认识,2009,39(17). |
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| 作者姓名： | 杨建雅 张凤琴 |
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| 作者单位： | 运城学院,应用数学系,山西,运城,044000 |
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| 基金项目： | 山西省重点扶持学科资助，山西省教育厅科技开发项目资助，山西省自然科学基金 |
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| 摘 要： | 建立并分析了一类对出生时没有被染病母体垂直传染的染病者的新生儿进行免疫接种的SEIR传染病模型.得到了疾病是否灭绝的阈值R0,当R0<1时,无病平衡点全局渐近稳定的.当R0>1时,地方病平衡点局部渐近稳定的,且疾病一致持续生存.
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| 关 键 词： | 一致持续 全局稳定 平衡点 垂直传染 预防接种 阈值 |
Qualitative Analysis of an SEIR Epidemic Model with Vertical Transmission and Vaccination |
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| YANG Jian-ya,ZHANG Feng-qin.Qualitative Analysis of an SEIR Epidemic Model with Vertical Transmission and Vaccination[J].Mathematics in Practice and Theory,2009,39(17). |
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| Authors: | YANG Jian-ya ZHANG Feng-qin |
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| Abstract: | An SEIR epidemic model with vertical transmission and vaccination is considered and the threshold is found. If the threshold is less than one, the disease-free equilibrium is globally asymptotically stable. If the threshold is greater than one, the endemic equilibrium is locally asymptotically stable, and the disease is uniformly persistent. |
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| Keywords: | uniformly persistent) globally asymptotically stable equilibrium vertical transmission the threshold |
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