| 一类SIR传染病模型的全局稳定性分析 |
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| 引用本文： | 朱春娟. 一类SIR传染病模型的全局稳定性分析[J]. 韶关学院学报, 2011, 32(8): 14-17 |
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| 作者姓名： | 朱春娟 |
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| 作者单位： | 韶关学院数学与信息科学学院,广东韶关,512005 |
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| 摘 要： | 讨论了一类具有接触率与总人口有关,免疫接种和垂直传染的SIR传染病模型.确定了各种平衡点的阈值,当阈值小于1时,无病平衡点是全局渐近稳定的;当阈值在一些情况下大于1时,地方平衡点是全局渐近稳定的.
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| 关 键 词： | 传染病模型 垂直传染率 无病平衡点 地方平衡点 阈值 全局渐近稳定 |
Global stability of an SIR epidemic model with general contact, vaccination and vertical transmission |
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| ZHU Chun-juan. Global stability of an SIR epidemic model with general contact, vaccination and vertical transmission[J]. Journal of Shaoguan University(Social Science Edition), 2011, 32(8): 14-17 |
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| Authors: | ZHU Chun-juan |
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| Affiliation: | ZHU Chun-juan (College of Mathematics and Information Sciences,Shaoguan University,Shaoguan 512005,Guangdong,China) |
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| Abstract: | This paper discusses an SIR epidemic model with transmission. The threshold to the existence of various equilibriums than one, the disease-free equilibrium is globally stable. When the general contact, vaccination and vertical are established. When the threshold is less threshold is bigger than one and with some conditions, the endemic equilibrium is globally stable. |
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| Keywords: | epidemic models vertical transmission disease-free equilibrium endemic equilibrium threshold global stability |
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