| 一类带有种痘年龄的流行病模型 |
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| 引用本文： | 郭淑利,丁凤霞.一类带有种痘年龄的流行病模型[J].数学季刊,2006,21(4):545-552. |
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| 作者姓名： | 郭淑利 丁凤霞 |
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| 作者单位： | Department of Mathematics Xinyang Normal University，Department of Mathematics，North China Institute of Water Conservancy and Hydroelectric Power，Xinyang 464000，China，Zhengzhou 450011，China |
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| 基金项目： | Supported by the NSF of China(10371105)，Supported by the Youth Science Foundation of Xinyang Normal University(20060202) |
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| 摘 要： | A simple SI epidemic model with age of vaccination is discussed in this paper. Both varing birth rate,the mortality rate caused by disease and vaccine waning rate are considered in this model.We prove that the global dynamics is completely determined by the basic reproductive number R(Ψ)(Ψdenotes per capita vaccination rate).If R(0)＜1, the disease-free equilibrium is a global attractor;If R(Ψ)＜1,the disease-free equilibrium is locally asymptotically stable;If R(Ψ)＞1,an unique endemic equilibrium exists and is locally asymptotically stable under certain condition.
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| 关 键 词： | 流行性模型 疫苗接种 整体动力学 渐近稳定性 |
Analysis of an Epidemic Model with Age of Vaccination |
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| GUO Shu-li,DING Feng-xia.Analysis of an Epidemic Model with Age of Vaccination[J].Chinese Quarterly Journal of Mathematics,2006,21(4):545-552. |
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| Authors: | GUO Shu-li DING Feng-xia |
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| Institution: | [1]Department of Mathematics, Xinyang Normal University, Xinyang 464000, China [2]Departmentof Mathematics, North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou450011, China |
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| Abstract: | |
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| Keywords: | SI model vaccination equilibrium stability |
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