| 一类具有年龄结构的接种和垂直传染的SEI流行病模型平衡解的存在性 |
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| 引用本文： | 王丰,白江红,闫萍.一类具有年龄结构的接种和垂直传染的SEI流行病模型平衡解的存在性[J].山西师范大学学报,2014(1):18-22. |
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| 作者姓名： | 王丰 白江红 闫萍 |
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| 作者单位： | [1]新疆大学数学与系统科学学院,新疆乌鲁木齐830046 [2]安徽农业大学理学院,安徽合肥230036 |
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| 摘 要： | 本文讨论了一类具有年龄结构且带有接种和垂直传染的SEI流行病模型,通过归一化变换后,讨论其平衡解的存在性.结果表明,当R01时,系统仅存在无病平衡解;当R01时,系统不仅存在无病平衡解还存在唯一地方病平衡解.
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| 关 键 词： | 年龄结构 垂直传染 接种 SEI流行病 |
Analysis of an Age-structured SEI Epidemic Model with Vaccination and Vertical Transmission |
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| WANG Feng,BAI Jiang-hong,YAN Ping.Analysis of an Age-structured SEI Epidemic Model with Vaccination and Vertical Transmission[J].Journal of Shanxi Teachers University,2014(1):18-22. |
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| Authors: | WANG Feng BAI Jiang-hong YAN Ping |
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| Institution: | 1. College of Mathematics and Systems Science, Xinjiang University, Ururnqi 830046, Xinjiang, China ; 2. College of Science, Anhui Agriculture University, Hefei 230036, Anhui, China) |
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| Abstract: | In this paper, we discuss an age-structured SEI epidemic model with vaccination and vertical transmission. By normalizing, the equilibrium of the model is obtained. In addition, it is proved that there exists only disease-free equilibrium if R0 〈 1 ; and disease-free equilibrium and endemic equilibruim if R0 〉 1. |
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| Keywords: | age-structure vertical transmission vaccination SEI epidemic |
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