| BIFURCATION ANALYSIS OF A MITOTIC MODEL OF FROG EGGS |
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| 作者姓名： | 吕金虎 张子范 张锁春 |
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| 作者单位： | Institute of Systems Science，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Institute of Applied Mathematics，Academy of Mathematics and System Sciences，Chinese Academy of Sciences，Institute of Applied Mathematics，Academy of Mathematics and System Sciences，Chinese Academy of Sciences Beijing 100080，P.R.China，Beijing 100080，P.R.China，Beijing 100080，P.R.China |
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| 基金项目： | theNationalNaturalScienceFoundationofChina ( 1 0 1 71 0 99)，K .C .WongEducationFoundation ,HongKong |
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| 摘 要： | ＩｎｔｒｏｄｕｃｔｉｏｎＷｉｔｈｔｈｅｒａｐｉｄｄｅｖｅｌｏｐｍｅｎｔｏｆｂｉｏｌｏｇｙｓｃｉｅｎｃｅｓ,ｃｅｌｌｓｉｇｎａｌｔｒａｎｓｄｕｃｔｉｏｎ ,ｃｅｌｌｅｐｏｐｔｏｓｉｓ,ｇｅｎｏｍｅａｎｄｐｏｓｔ＿ｇｅｎｏｍｉｃａｎａｌｙｓｉｓｈａｖｅａｔｔｒａｃｔｅｄｉｎｃｒｅａｓｉｎｇａｔｔｅｎｔｉｏｎ1- 6 ].Ｔｈｅｃｅｌｌｄｉｖｉｓｉｏｎｃｙｃｌｅｉｓｔｈｅｓｅｑｕｅｎｃｅｏｆｅｖｅｎｔｓｂｙｗｈｉｃｈａｇｒｏｗｉｎｇｃｅｌｌｄｕｐｌｉｃａｔｅｓａｌｌｉｔｓｃｏｍｐｏｎｅｎｔｓａｎｄｔｈｅｎｄｉｖ…
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| 收稿时间： | 18 May 2001 |
Bifurcation analysis of a mitotic model of frog eggs |
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| Lü Jin-hu,Zhang Zi-fan,Zhang Suo-chun.BIFURCATION ANALYSIS OF A MITOTIC MODEL OF FROG EGGS[J].Applied Mathematics and Mechanics(English Edition),2003,24(3):284-297. |
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| Authors: | Lü Jin-hu Zhang Zi-fan Zhang Suo-chun |
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| Institution: | 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 |
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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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| Keywords: | mitosis steady state periodic solution supercritical bifurcation subcritical bifurcation |
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