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具有染病年龄结构的SEIR流行病模型的稳定性 被引量：3

Analysis of an SEIR Epidemic Model with Age of Infection
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摘要 建立和研究了一类具有染病年龄结构的SEIR流行病模型.得到了该模型的基本再生数R0的表达式.证明了当R0<1时,无病平衡点E0不仅局部渐近稳定,而且全局吸引;当R0>1时,无病平衡点E0不稳定,此时存在稳定的地方病平衡点. An SEIR epidemic model with age of infectionis formulated in this paper. Basic reproductivenumber of this model is obtained. It is proved that the disease free equilibruim Eois globally asymptotically stableif R0 〈 1, the enderfiic equilibrium E1 is locally asymptotically stable if R0〉 1.
作者 李学志 丁凤霞
机构地区 信阳师范学院数学与信息科学学院 华北水利水电学院信息科学系
出处 《数学的实践与认识》 CSCD 北大核心 2007年第18期100-106,共7页 Mathematics in Practice and Theory
基金 国家自然科学基金(10371105 10671166) 河南省杰出青年科学基金(0312002000)
关键词 染病年龄结构 SEIR流行病模型 基本再生数 无病平衡点 地方病平衡点 稳定性 age of infection, SEIR epidemic models basic reproductive number equilibria stability
分类号 O193 [理学—基础数学]
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参考文献14

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同被引文献25

  • 1Hethcote H W, Van Den Driessche P. Some epidemiological mod- els with nonlinear incidence [J]. J Math Biol, 1991, 29(3): 271-287.
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数学的实践与认识
2007年 第18期

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