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一类具有阶段结构的自治传染病模型的稳定性 被引量:4

Stability for an Autonomous Epidemic with Stage Structure
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摘要 研究了一类具有阶段结构的传染病模型,找到了各类平衡点存在的阈值条件,并讨论了各平衡点的稳定性. The paper deals with an autonomous epidemic model with stage structure.The conditions and threshold to the existence of various equilibriums are established ,and then the stability of the equilibriums is discussed.
出处 《石家庄学院学报》 2007年第3期23-27,共5页 Journal of Shijiazhuang University
基金 国家自然科学基金(10671011)
关键词 传染病模型 平衡点 局部渐近稳定 全局渐近稳定 阈值 epidemic model equilibrium local asymptotically stability global asymptotically stability threshold
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参考文献5

  • 1LU Zhong-hua,CHI Xue-bin,CHEN Lan-sun.Global Attractivity of Nonautonomous Stage-structured Population Models with Dispersal and Harvest[].Journal of Computational and Applied Mathematics.2004 被引量:1
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同被引文献16

  • 1李建全,马知恩.一类带有接种的流行病模型的全局稳定性[J].数学物理学报(A辑),2006,26(1):21-30. 被引量:18
  • 2耿春梅,甘文珍,周桦.一类具有阶段结构的捕食模型的稳定性[J].扬州大学学报(自然科学版),2006,9(1):9-14. 被引量:8
  • 3徐瑞,郝飞龙,陈兰荪.一个具有时滞和阶段结构的捕食-被捕食模型[J].数学物理学报(A辑),2006,26(3):387-395. 被引量:30
  • 4[3]Lu Zhonghua,Chi Xuebin,Chen Lansun.Global attractivity of nonautonomous stage-structured population models with dispersal and harvest.Journal of Computational and Applied Mathematics,2004;166:411-425 被引量:1
  • 5[4]Xiao Yanni,Chen Lansun.Modeling and analysis of a predator-prey model with disease in the prey.Math Biosci,2001;171:59-82 被引量:1
  • 6[5]Xiao Yanni,Chen Lansun.A ratio-dependent predator-prey model with disease in the prey.Appl Math Compu,2002;131:394-414 被引量:1
  • 7Walter G Alello, Freedman H I. A time-delay of single species growth with stage structure[J]. Mathematical Biosciences, 1990,101 : 139-153. 被引量:1
  • 8Walter G Alelto, Freedman H I, Wu J. Analysis of a model represening stage-structured populations growth with stage- dependent time delay[J]. SIAM J. Appl. Math,1992(3)1855-869. 被引量:1
  • 9Karnack W O, McKendrick A G Contribution to the mathematical theory of epidemic[J].Proc Kroc Roy Soc,1943,138(1):55-83. 被引量:1
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