| 一类具脉冲和垂直传染的传染病模型的一致持续生存 |
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| 引用本文： | 王金生,王理凡.一类具脉冲和垂直传染的传染病模型的一致持续生存[J].兵团教育学院学报,2010,20(6):45-49. |
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| 作者姓名： | 王金生 王理凡 |
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| 作者单位： | 金华职业技术学院; |
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| 摘 要： | 本文建立了一类具脉冲和垂直传染的传染病模型,应用脉冲微分议程周期解的全局稳定性、比较原理和分析方法,得到了该模型一致持续生存的充分条件,通过结果可以帮助我们了解,注射疫苗的周期T和注射比例P与疾病控制的联系。
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| 关 键 词： | 脉冲微方程 一致持续生存 SIR传染病模型 脉冲比较方程 |
The Uniform Persistence of SIR Epidemic Models with Pulse Effect |
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| WANG Jin-sheng,WANG Li-fan.The Uniform Persistence of SIR Epidemic Models with Pulse Effect[J].Journal of Bingtuan Education Institute,2010,20(6):45-49. |
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| Authors: | WANG Jin-sheng WANG Li-fan |
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| Institution: | WANG Jin-sheng,WANG Li-fan(Jinhua Polytechnic,Zhejiang Jinhua 321000,China)) |
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| Abstract: | SIR epidemic models with pulse effect are established.The sufficient condition of uniform persistence is concluded by using global stability of the periodic solution of equation with pulse,comparison principle and analytical method.And the results can help us understand iTiore about the relationship among tile period of vaccination T.,the proportion of vaccinated people P and the disease control. |
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| Keywords: | impulsive differential equation identical persistence SIR epidemic model impulsive comparative equation |
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