| 具有充分接种和共同感染两种病毒的流行病模型分析 |
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| 引用本文： | 张齐鹏.具有充分接种和共同感染两种病毒的流行病模型分析[J].南阳师范学院学报,2006,5(12):15-19. |
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| 作者姓名： | 张齐鹏 |
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| 作者单位： | 南阳师范学院,数学与统计学院,河南,南阳473061 |
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| 摘 要： | 在充分接种的假设下,分析具有共同感染两种病毒的流行病模型,得到了基本再生数和侵入再生数的表达式,在一定的条件下,给出了模型的无病平衡点和边界平衡点,并证明了无病平衡点和边界平衡点的稳定性.
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| 关 键 词： | 两种病毒 共同感染 平衡点 基本再生数 侵入再生数 稳定性 |
| 文章编号： | 1671-6132(2006)12-0015-05 |
| 收稿时间： | 05 9 2006 12:00AM |
| 修稿时间： | 2006年5月9日 |
Analysis of an epidemic model with perfect vaccination and two-strain coinfection |
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| ZHANG Qi-peng.Analysis of an epidemic model with perfect vaccination and two-strain coinfection[J].Journal of Nanyang Teachers College,2006,5(12):15-19. |
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| Authors: | ZHANG Qi-peng |
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| Institution: | School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, China |
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| Abstract: | A two-strain coinfection epidemic model with the hypothesis of perfect vaccination is analysed.We obtain the representative formulas of the basic reproduction numbers and the invasion reproductive numbers.Under some conditions,the model's disease-free equilibrium and one strain exclusive equilibria are gived and their stability respectively are showed. |
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| Keywords: | two-strain coinfection equilibrium the basic reproductive number the invasion reproductive number stability |
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