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Bifurcation analysis of a mitotic model of frog eggs

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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.

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Authors and Affiliations

  1. Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080, Beijing, PR China

    Lü Jin-hu Doctor

  2. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, 100080, Beijing, P.R. China

    Zhang Zi-fan & Zhang Suo-chun

Authors
  1. Lü Jin-hu Doctor
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  2. Zhang Zi-fan
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  3. Zhang Suo-chun
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Additional information

Communicated by LI Jia-chun

Foundation items: the National Natural Science Foundation of China (10171099); K. C. Wong Education Foundation, Hong Kong

Biography: Lü Jin-hu(1974-)

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Jin-hu, L., Zi-fan, Z. & Suo-chun, Z. Bifurcation analysis of a mitotic model of frog eggs. Appl Math Mech 24, 284–297 (2003). https://doi.org/10.1007/BF02438266

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  • DOI: https://doi.org/10.1007/BF02438266

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