| 一类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： | 张敬,芦雪娟.一类具有非线性传染率的SEIQR流行病模型的全局稳定性[J].数学的实践与认识,2011,41(16). |
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| 作者姓名： | 张敬 芦雪娟 |
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| 作者单位： | 齐齐哈尔大学理学院,黑龙江齐齐哈尔,161006 |
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| 基金项目： | 黑龙江省教育厅科学技术研究项目(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_0的表达式,证明了无病平衡点和地方性平衡点的存在性及全局渐近稳定性.
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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 Nonlinear Incidence Rate SEIQR Model in Epidemiology |
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| ZHANG Jing,LU Xue-juan.Global Stability for a Nonlinear Incidence Rate SEIQR Model in Epidemiology[J].Mathematics in Practice and Theory,2011,41(16). |
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| Authors: | ZHANG Jing LU Xue-juan |
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| Institution: | ZHANG Jing,LU Xue-juan (School of Science,Qiqihar University,Heilongjiang Qiqihar 161006,China) |
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| Abstract: | In this paper,a kind of nonlinear incidence rate SEIQR model is investigated. And the threshold which determines whether a disease is extinct or not is obtained.The existences and global stabilities of the disease free equilibrium and the endemic equilibrium are solved. |
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| Keywords: | mathematical model threshold nonlinear incidence rate global stability |
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