蛙卵有丝分裂模型的分岔分析

基金项目: 国家自然科研基金资助项目(10171099)

Bifurcation Analysis of a Mitotic Model of Frog Eggs

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

摘要: 定性分析了Borisuk和Tyson建立的蛙卵有丝分裂模型,讨论了其定态的存在性和稳定性,深入研究了该模型的分岔行为并通过数值实验加以证实。此外,还给出了Tyson数值结果的理论依据。
- 有丝分裂 /
- 正定态 /
- 周期解 /
- 超临界分岔 /
- 次临界分岔
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.
- mitosis /
- steady state /
- periodic solution /
- supercritical bifurcation /
- subcritical bifurcation

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