| 具有潜伏期的离散SEIR模型的稳定性 |
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| 引用本文： | 周玲丽,孙光辉,李爱芹.具有潜伏期的离散SEIR模型的稳定性[J].数学的实践与认识,2010,40(7). |
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| 作者姓名： | 周玲丽 孙光辉 李爱芹 |
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| 作者单位： | 山东交通学院数理系,山东济南,250023 |
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| 基金项目： | 山东交通学院科研基金(Z200715) |
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| 摘 要： | 建立和研究了有年龄结构和潜伏期的离散SEIR模型,运用常差分线性方程组的理论,得到基本再生数R_0的表达式,证明了当R_0<1时,无病平衡点全局渐进稳定,当R_0>1时,无病平衡点不稳定,R_0>1且R_1<1时,地方病平衡点局部渐进稳定.
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| 关 键 词： | 离散模型 潜伏期 年龄结构 全局稳定性 |
Global Analysis of Discrete SEIR Model with Latent Period |
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| ZHOU Ling-li,SUN Guang-hui,LI Ai-qin.Global Analysis of Discrete SEIR Model with Latent Period[J].Mathematics in Practice and Theory,2010,40(7). |
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| Authors: | ZHOU Ling-li SUN Guang-hui LI Ai-qin |
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| Institution: | ZHOU Ling-li,SUN Guang-hui,LI Ai-qin (Department of Mathematics , Physics,Sh,ong Jiaotong University,Jinan 250023,China) |
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| Abstract: | In this paper,a higher dimensional discrete SEIR model with age-structure and latent period is formulated.The dynamical behavior of the model is analyzed theoretically. We obtain the global stability condition for disease-free equilibrium.The existence and stability of the endemic equilibrium are discussed.The basis reproductive number of the model is given. |
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| Keywords: | discrete model latent period age-structure global stability |
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