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Applied Mathematics and Mechanics

, Volume 24, Issue 3, pp 284–297 | Cite as

Bifurcation analysis of a mitotic model of frog eggs

  • Lü Jin-hu
  • Zhang Zi-fan
  • Zhang Suo-chun
Article

Abstract

The mitotic model of frog eggs established by Borisuk and Tyson is qualitatively analyzed. The existence and stability of its steady states are further discussed. Furthermore, the bifurcation of above model is further investigated by using theoretical analysis and numerical simulations. At the same time, the numerical results of Tyson are verified by theoretical analysis.

Key words

mitosis steady state periodic solution supercritical bifurcation subcritical bifurcation 

Chinese Library Classification

O175.1 

2000 MR Subject Classification

37G10 34D05 92B99 

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References

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Copyright information

© Editorial Committee of Applied Mathematics and Mechanics 2003

Authors and Affiliations

  • Lü Jin-hu
    • 1
  • Zhang Zi-fan
    • 2
  • Zhang Suo-chun
    • 2
  1. 1.Institute of Systems Science, Academy of Mathematics and System SciencesChinese Academy of SciencesBeijingPR China
  2. 2.Institute of Applied Mathematics, Academy of Mathematics and System SciencesChinese Academy of SciencesBeijingP.R. China

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