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Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (3): 284-297.

• 论文 • 上一篇    下一篇

BIFURCATION ANALYSIS OF A MITOTIC MODEL OF FROG EGGS

吕金虎1, 张子范2, 张锁春2   

  1. 1. Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China;
    2. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China
  • 收稿日期:2001-05-18 修回日期:2002-10-19 出版日期:2003-03-18 发布日期:2003-03-18
  • 基金资助:
    the National Natural Science Foundation of China(10171099);K.C. Wong Education Foundation, Hong Kong

BIFURCATION ANALYSIS OF A MITOTIC MODEL OF FROG EGGS

LÜ Jin-hu1, ZHANG Zi-fan2, ZHANG Suo-chun2   

  1. 1. Institute of Systems Science, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China;
    2. Institute of Applied Mathematics, Academy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100080, P. R. China
  • Received:2001-05-18 Revised:2002-10-19 Online:2003-03-18 Published:2003-03-18
  • Supported by:
    the National Natural Science Foundation of China(10171099);K.C. Wong Education Foundation, Hong Kong

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摘要： 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.

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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