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潜伏期和染病期均传染的SEIS模型的分析 被引量：2

Analysis of SEIS epidemic model with transmission in both latent period and infected period
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摘要 研究了潜伏期和染病期均传染的SEIS模型.给出了各类平衡点存在的条件阈值,证明了无病平衡点全局渐近稳定性的条件,并且利用第二加性复合矩阵给出了地方平衡点的存在性和全局渐近稳定性的充分条件. A kind of SEIS epidemic models with transmission in both latent period and infected period was studied.The threshold for the existence condition of all kinds of equilibriums were identified,the global asymptotic stability of disease-free equilibrium was proved,and the sufficient condition for the existence and the global asymptotic stability of the endemic equilibrium point was also proved by use of the second compound matrix.
作者 赵海全 王美娟 唐春婷
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 CAS 北大核心 2010年第5期457-460,共4页 Journal of University of Shanghai For Science and Technology
关键词 流行病模型 平衡点 全局渐近稳定性 复合矩阵 epidemic model equilibrium global asymptotic stability compound matrix
分类号 O175.13 [理学—基础数学]
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参考文献6

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共引文献53

同被引文献16

  • 1Li M Y, Muldowney J S. Global stability for the SEIR model in epidemiology[J]. Math Biosei, 1995, 125: 155-64.
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  • 4Fan M, Li M Y. Global stability o{ an SEIS epidemic model with recruitment and a varying total population size[J]. Math Biosci, 2001, 170: 199-208.
  • 5Li M Y, Wang L. Global stability in some SEIR epidemic models IMA, 126: 295-311.
  • 6Guihua Li, Jin Zhen, Global stability of an SEI epidemic model with general contact rate[J]. Chaos, Solitons and Fractals, 2005(23): 997-1004.
  • 7Guihua Li, Wendi Wang, Zhen Jin. Global stability of an SEIR epidemic model with constant immigration [J]. Chaos, Solitons and Fractals, 2006 (30) : 1012- 1019.
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  • 9方彬,杨金根,李学志.潜伏期和染病期均具有康复的年龄结构MSEIS流行病模型的稳定性[J].应用数学,2009,22(1):90-100. 被引量：3
  • 10张改平,董玉才,许飞,张欢.具有垂直传染且总人口在变化的SIRS传染病模型的渐近分析[J].数学的实践与认识,2011,41(18):139-143. 被引量：2

引证文献2

上海理工大学学报
2010年 第5期

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