| 一类具饱和治愈率和垂直传染的传染病模型的研究 |
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| 引用本文： | 欧阳红水,高淑京.一类具饱和治愈率和垂直传染的传染病模型的研究[J].赣南师范学院学报,2010,31(6). |
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| 作者姓名： | 欧阳红水 高淑京 |
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| 基金项目： | 国家自然科学基金，国家科技支撑计划项目 |
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| 摘 要： | 考虑了一类具有饱和治愈率和垂直传染的SIR传染病模型,通过计算得到基本再生数R0,并研究了无病平衡点和地方病平衡点全局渐近稳定性.通过构造Dulac函数,得到了该模型在正向不变集上闭轨线不存在的充分条件.
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| 关 键 词： | 传染病模型 垂直传染 饱和治愈率 基本再生数 |
Analysis of an Epidemic Model with Saturated Treatment Rate and Vertical Transmission |
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| OUYANG Hong-shui,GAO Shu-jing.Analysis of an Epidemic Model with Saturated Treatment Rate and Vertical Transmission[J].Journal of Gannan Teachers' College(Social Science(2)),2010,31(6). |
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| Authors: | OUYANG Hong-shui GAO Shu-jing |
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| Abstract: | In this paper,an epidemic model with vertical transmission and saturated treatment rate is proposed.By calculating,the basic reproduction number R0 is obtained.And the global stability of the disease free equilibrium and endemic equilibrium are studied.By constructing Dulac function,the sufficient conditions of the nonexistence of closed orbit in the positively invariant region. |
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| Keywords: | epidemic model saturated treatment rate vertical transmission basic reproduction number |
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