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具有小时滞的阶段结构SIS模型的稳定性分析

Stability Analysis in a Class of Stage Structure SIS Model with Small Delay
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摘要 研究了一类具有小时滞的阶段结构SIS模型的渐近稳定性,我们得到了系统的平衡点的渐近稳定的充分条件,并用matlab软件进行了数值模拟,证实了所得结论的正确性,鉴于考虑的模型具有小时滞,所得结果是前人工作的继续和补充. In this paper,the stability of a class of stage structure SIS model with small delay is studied. The sufficient conditions for asymptotical stability of the equilibrium are given. Some simulations are carried out by matlab software to support the correctness of our analysis results. Owing to the small delay , the results are the continuation and complement of the previous authors.
作者 徐昌进
出处 《湖南工程学院学报(自然科学版)》 2008年第4期44-46,共3页 Journal of Hunan Institute of Engineering(Natural Science Edition)
基金 湖南工程学院科研启动基金资助项目(0744)
关键词 SIS模型 小时滞 渐近稳定性 数值模拟 stage structure SIS model small delay asymptotically stability.
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参考文献5

  • 1Walter G, Alello, Freedman H I. A Time-delay of Single Species Growth with Stage Structure[J]. Mathematical Bioscience, 1990,101 : 139-153.
  • 2Walter G, Alello, Freedman H I, Wu J. Analysis of a rood Erespresenting Stagestruetured Populations Growth with Stage-dependent Time Delay[J]. SIAMJ. Appl. Math. ,197,52(3) :855-869.
  • 3原存德,胡宝安.具有阶段结构的SI传染病模型[J].应用数学学报,2002,25(2):193-203. 被引量:51
  • 4胡宝安,陈博文,原存德.具有阶段结构的SIS传染病模型[J].生物数学学报,2005,20(1):58-64. 被引量:20
  • 5Jianping Cai. Hopf Bifurcation in the IS-LM Business cycle Model with Delay[J]. Electronic Journal of Differential Equations, 2005 , 15:1- 6.

二级参考文献5

  • 1Walter G, Alello, Freedman H I. A time-delay of single species growth with stage structure[J]. Mathematical Bioscience, 1990, 101:139-153.
  • 2Walter G, Alello Freedman H I, Wu J. Analysis of a model representing stage-structured populations growth with stage-dependent time delay[J]. SIAM J Appl Math, 1992, 52(3):855-869.
  • 3Yang Kuang. Delay Differential Equation with Applications in Population Dynamics[M]. Boston: Academic Press Inc. 1993, 76-77.
  • 4胡志兴,王辉,管克英.具有非线性接触率和时滞的SIRS流行病模型[J].应用数学学报,1999,22(1):10-16. 被引量:13
  • 5原存德,胡宝安.具有阶段结构的SI传染病模型[J].应用数学学报,2002,25(2):193-203. 被引量:51

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