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

• Articles • Previous Articles     Next Articles

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

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.

2010 MSC Number: 

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