| 一类禽流感传染病数学模型的动力学行为分析 |
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| 引用本文： | 王红飞.一类禽流感传染病数学模型的动力学行为分析[J].中国科教创新导刊,2009(22):39-40. |
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| 作者姓名： | 王红飞 |
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| 作者单位： | 开封大学,河南开封,475000 |
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| 摘 要： | 本文建立和研究了一类禽流感传染病动力学模型.模型中人类群体是SIR模型,禽类群体是SI模型.在建立模型时,考虑了人类易感者和禽类染病者之间联系.通过分析,得到了无病平衡点和地方病平衡点的局部稳定性和全局渐近稳定条件;并得到了疾病流行与否的阈值.
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| 关 键 词： | 禽流感 局部渐近稳定性 全局渐近稳定性 阈值 |
Dynamic Analysis of A Kind of Infectious Disease Model of bird flu |
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| Wang Hongfei.Dynamic Analysis of A Kind of Infectious Disease Model of bird flu[J].China Education Innocation Herald,2009(22):39-40. |
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| Authors: | Wang Hongfei |
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| Institution: | Wang Hongfei(Kaifeng University,Henan,Kaifeng,475000) |
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| Abstract: | In this paper,we construct and study a model of bird flu.One model is SIR in human,the other model is SI in bird species.We onsider the relationships between susceptible in human beings and infected in animals.we discuss the local stability and global stabilityof the disease-free equilibrium and the endemic equilibrium.we get the critical value whether disease will spreads or not. |
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| Keywords: | Bird flu Local asymptotically stability Global asymptotically stability critical value |
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