| 预防接种情况下具有非线性传染率的SEIR传染病模型的全局分析 |
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| 引用本文： | 朱慧,熊佐亮,王娓.预防接种情况下具有非线性传染率的SEIR传染病模型的全局分析[J].南昌大学学报(理科版),2009,33(2):1. |
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| 作者姓名： | 朱慧 熊佐亮 王娓 |
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| 作者单位： | 南昌大学数学系； 北京理工大学珠海学院； |
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| 摘 要： | 研究一类具有预防接种的非线性传染率SEIR传染病模型,得到了各类平衡点存在的阈值条件。利用Lia-punov-Lasalle不变集原理证明了无病平衡点全局渐近稳定,利用Hurwitz判别法得到了地方病平衡点的局部渐近稳定的充分条件。应用微分方程轨道稳定和复合矩阵的相关理论得到了地方病
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| 关 键 词： | 全局渐近稳定性 预防接种 平衡点 SEIR传染病模型 |
Global Analysis of a SEIR Epidemic Model with Nonlinear Incidence Rate under Vaccination |
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| ZHU Hui,XIONG Zuo-liang,WANG Wei.Global Analysis of a SEIR Epidemic Model with Nonlinear Incidence Rate under Vaccination[J].Journal of Nanchang University(Natural Science),2009,33(2):1. |
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| Authors: | ZHU Hui XIONG Zuo-liang WANG Wei |
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| Institution: | 1.Department of Mathematics;Nanchang University;Nanchang 330031;China;2.Department of Basic Courses;Zhuhai Campus of Beijing Institute of Technology;Zhuhai 519085;China |
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| Abstract: | The global analysis of a SEIR epidemic model with nonlinear incidence rate under vaccination is studied.The conditions and threshold to the existence of equilibriums are found.By Liapunov-Lasalle invariant theorem,the globally asymptotic stability of disease-free equilibrium is proved.By Hurwitz criterion,the sufficient condition of locally asymptotic stability of endemic equilibrium is obtained.And the sufficient condition under which endemic equilibrium is globally asymptotic stability is given by the the... |
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| Keywords: | vaccination SEIR epidemic model equilibrium globally asymptotic stability |
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