| 具有非线性传染率的SEIQR流行病模型的全局稳定性 |
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| 引用本文： | 芦雪娟,张敬,董晓红.具有非线性传染率的SEIQR流行病模型的全局稳定性[J].生物数学学报,2012(1):136-144. |
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| 作者姓名： | 芦雪娟 张敬 董晓红 |
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| 作者单位： | 齐齐哈尔大学理学院;哈尔滨商业大学金融学院 |
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| 基金项目： | 黑龙江省教育厅科学研究项目(12511609) |
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| 摘 要： | 研究了一类具有非线性传染率的SEIQR流行病数学模型,得到了疾病灭绝与否的基本再生数R_O,当R_O≤1时,无病平衡点全局渐近稳定,且疾病最终消亡;当R_O>1时,惟一地方病平衡点全局渐近稳定.
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| 关 键 词： | 数学模型 阚值 非线性传染率 全局稳定性 |
Global Stability for a Non-linear Incidence Rate SEIQR Model in Epidemiology |
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| LU Xue-juan,ZHANG Jing,DONG Xiao-hong.Global Stability for a Non-linear Incidence Rate SEIQR Model in Epidemiology[J].Journal of Biomathematics,2012(1):136-144. |
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| Authors: | LU Xue-juan ZHANG Jing DONG Xiao-hong |
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| Institution: | 1 College of Science,Qiqihaer University,Qiqihar Heilongjiang 161006 China) (2 Financial Institute,Harbin Commerical University,Harbin Heilongjiang 150028 China) |
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| Abstract: | In this paper,a kind of non-linear incidence rate SEIQR model is investigated. And the threshold which determines whether a disease is extinct or not,is obtained.The diseasefree equilibrium is globally asymptotical when R0 < 1.The unique endemic equilibrium is globally asymptotical stable when R0 > 1. |
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| Keywords: | mathematical model threshold non-linear incidence rate global stability |
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