| 朱春娟.一类具有饱和传染率、免疫接种和垂直传染的SIR传染病模型的全局稳定性分析[J].井冈山大学自然版,2015,(4):13-16 |
| 一类具有饱和传染率、免疫接种和垂直传染的SIR传染病模型的全局稳定性分析 |
| GLOBAL STABILITY OF A SIR EPIDEMIC MODEL WITH SATURATING INFECT RATE,VACCINATION AND VERTICAL TRANSMISSION |
| 投稿时间：2015-04-08 修订日期：2015-05-24 |
| DOI：10.3969/j.issn.1674-8085.2015.04.003 |
| 中文关键词: SIR传染病模型 饱和传染率 免疫接种 垂直传染 稳定性 |
| 英文关键词: SIR epidemic model saturating infect rate vaccination vertical transmission equilibrium global stability |
| 基金项目:韶关市科技计划项目(2014CX/K231) |
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| 中文摘要: |
| 针对一类具有饱和传染率、免疫接种和垂直传染的SIR传染病模型,确定了疾病的基本再生数。得出结论:当疾病的基本再生数小于1时,无病平衡点是全局渐近稳定的,当疾病基本再生数大于1时,地方病平衡点是全局渐近稳定的。 |
| 英文摘要: |
| In this paper, the SIR epidemic model with saturating infect rate, vaccination and vertical transmission is studied; the basic reproduction number R0 for the existence of infectivedisease was established. If R0 <1, the disease-free equilibrium is global asymptotically stable. If R0 >1, a unique endemic equilibrium exists and is globally stable in the interior of the feasible region.We discuss the biological significance at the end. |
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