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总人口变化的SIR型传染病模型的持续性

Persistence for a Varying total Population SIR Epidemic Model
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摘要 本文建立和研究了具有年龄结构,病死率不为零(即总人口变化)的传染病SIR模型持续性,证明了该模型当小于1时疾病消亡,当大于1时模型具有一致弱持续性质. The persistence of age structure and non zero mortality ( viz. varying total population) SIR epidemic model is estab- lished and studied. The character is proved that the disease is extinct if Ro 〈 1 and the uniform week persistence if Ro 〉 1.
出处 《山西师范大学学报(自然科学版)》 2011年第3期6-10,共5页 Journal of Shanxi Normal University(Natural Science Edition)
关键词 年龄结构 传染病模型 总人口变化 致弱持续性 age-structured epidemic model varying total populatian uniform week persistence
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