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一类具有时滞病毒模型的Hopf分支 被引量:2

Hopf bifurcation in a viral model with time delay
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摘要 利用时滞微分方程及Hopf分支的相关理论,对一类具有时滞的流感病毒模型进行研究,分析了它的三个平衡点的类型和性质,对惟一的正平衡点,给出了在它处存在Hopf分支的条件.最后对所得结果进行了数据模拟. In this paper, the viral model with time delay is studied by using the theory of functional differential equation and Hopf bifurcation, and the condition on which positive equilibrium exists is given.
作者 曹志杰
出处 《西南民族大学学报(自然科学版)》 CAS 2007年第4期756-759,共4页 Journal of Southwest Minzu University(Natural Science Edition)
关键词 时滞 局部稳定性 HOPF分支 delay local stability Hopfbifurcation
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参考文献5

  • 1MOHLER L,FLOCKERZI D,SANN H,et al.Mathematical Model of Influenza A Virus Production in Large-Scale Microcarrier Culture[J].biotechnology and bioengineering.2005,90:46-58.
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二级参考文献3

  • 1Xiu Zhi-long, Zeng An-ping, Wolf-Dieter Deckwer. Multiplicity and stability analysis of microorganisms in continuous culture: effects of metabolic overflow and growth inhibition[J]. Biotechnol Bioeng, 1998, 57:251-261.
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共引文献14

同被引文献4

  • 1MOHLER L, FLOCKERZI D, SANN H, et al. Mathematical model of influenza a virus production in Large- Scale microcarrier culture[J]. Biotechnology and Bioengineering, 2005, 90:46-58.
  • 2Hassard B D, Kazarinoff N D, Wan Y H. Theory and applications of Hopf bifurcation [M]. Cambridge: Cambridge University Press, 1981:72- 135.
  • 3Jack Hale. Theory of functional differential equations [M]. Heidelberg Berlin, New York: Springer-Verlag, 1977.
  • 4马剑,张春蕊.一类具有时滞的传染病模型的稳定性分析[J].生物数学学报,2007,22(3):455-464. 被引量:11

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