| 一类两菌株传染病模型的稳定性分析 |
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| 引用本文： | 党艳霞,王娟,李学志.一类两菌株传染病模型的稳定性分析[J].数学的实践与认识,2010,40(14). |
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| 作者姓名： | 党艳霞 王娟 李学志 |
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| 摘 要： | 建立和讨论一类具有比例接种疫苗丧失率的两菌株SIJVS传染病模型,给出了该模型基本再生数和侵入再生数的表达式,分析了无病平衡点、菌株占优平衡点、共存平衡点的存在性和稳定性.
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| 关 键 词： | 两菌株传染病模型 接种疫苗 基本再生数 侵入再生数 平衡点 稳定性 |
Stability Analysis of a Two-strain Epidemic Model |
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| DANG Yan-xia,WANG Juan,LI Xue-zhi.Stability Analysis of a Two-strain Epidemic Model[J].Mathematics in Practice and Theory,2010,40(14). |
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| Authors: | DANG Yan-xia WANG Juan LI Xue-zhi |
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| Abstract: | This paper formulates and investigates a two-strain SIJVS epidemic models with constant vaccination loss rate.The explicit expression on basic reproduction numbers and the invasion reproduction numbers were presented.The exsitence and locate stability conditions for the diseasse-free equilibrium,strain dominance equilibria and coexistence equilibrium were given. |
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| Keywords: | a two-strain epidemic model vaccination basic reproduction number invasion reproduction number equilibrium stability |
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