| 一类具有垂直传染的SEIR传染病模型的全局稳定性 |
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| 引用本文： | 米晓丽.一类具有垂直传染的SEIR传染病模型的全局稳定性[J].山西师范大学学报,2013(2):19-22. |
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| 作者姓名： | 米晓丽 |
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| 作者单位： | 山西师范大学数学与计算机科学学院,山西临汾041004 |
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| 摘 要： | 讨论了一类含潜伏期,染病者有病死且有标准传染率的SEIR传染病模型,给出了修正再生数θ的表达式.当θ≤1则无病平衡点是全局稳定的;当α=0,θ>1则存在唯一的地方病平衡点,且是全局渐近稳定的.
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| 关 键 词： | 传染病模型 垂直传染 复合矩阵 |
Global Dynamics of an SEIR Epidemic Model with Vertical Transmission |
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| MI Xiao-li.Global Dynamics of an SEIR Epidemic Model with Vertical Transmission[J].Journal of Shanxi Teachers University,2013(2):19-22. |
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| Authors: | MI Xiao-li |
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| Institution: | MI Xiao-li ( School of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, Shanxi, China) |
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| Abstract: | In this paper, an SEIR epidemic model that incorporates a latent period, excess death of the infected and a standard incidence is considered. The modify reproduction number θ is identified. If θ ≤ 1, the disease-free equilibrium is globally stable and the disease always dies out; if α = 0, θ 〉 1, a unique endemic equi- librium is globally asymptotically stable. |
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| Keywords: | epidemic model vertical transmission compound matrix |
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