| Periodic Solutions of a Model of Mitosis in Prog Eggs |
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| 作者姓名： | Bei-ye Feng Zuo-huan ZhengInstitute of Applied Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China |
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| 作者单位： | Bei-ye Feng，Zuo-huan ZhengInstitute of Applied Mathematics，Academy of Mathematics and System Sciences，Chinese Academy of Sciences Beijing 100080，China |
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| 基金项目： | the the National Natural Science Foundation of China (No.10171099). |
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| 摘 要： | In this paper,we discuss a simplified model of mitosis in frog eggs proposed by M.T. Borisuk and J.J. Tyson in 1]. By using rigorous qualitative analysis, we prove the existence of the periodic solutions on a large scale and present the space region of the periodic solutions and the parameter region coresponding to the periodic solution. We also present the space region and the parameter region where there are no periodic solutions. The results are in accordance with the numerical results in 1] up to the qualitative property.
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Periodic Solutions of a Model of Mitosis in Prog Eggs |
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| Bei-ye Feng,Zuo-huan ZhengInstitute of Applied Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences Beijing ,China.Periodic Solutions of a Model of Mitosis in Prog Eggs[J].Acta Mathematicae Applicatae Sinica,2002(4). |
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| Authors: | Bei-ye Feng Zuo-huan ZhengInstitute of Applied Mathematics Academy of Mathematics and System Sciences Chinese Academy of Sciences Beijing China |
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| Institution: | Bei-ye Feng,Zuo-huan ZhengInstitute of Applied Mathematics,Academy of Mathematics and System Sciences,Chinese Academy of Sciences Beijing 100080,China |
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| Abstract: | In this paper,we discuss a simplified model of mitosis in frog eggs proposed by M.T. Borisuk and J.J. Tyson in 1]. By using rigorous qualitative analysis, we prove the existence of the periodic solutions on a large scale and present the space region of the periodic solutions and the parameter region coresponding to the periodic solution. We also present the space region and the parameter region where there are no periodic solutions. The results are in accordance with the numerical results in 1] up to the qualitative property. |
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| Keywords: | Model of Mitosis frog eggs limit cycle |
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