Bifurcation analysis of mitotic model of frog eggs

Jin Hu Lu; Zi Fan Zhang; Suo Chun Zhang

doi:10.1007/bf02438266

Bifurcation analysis of mitotic model of frog eggs

Jin Hu Lu^*
, Zi Fan Zhang
, Suo Chun Zhang

^*Corresponding author for this work

CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English
Pages (from-to)	284-297
Number of pages	14
Journal	Applied Mathematics and Mechanics (English Edition)
Volume	24
Issue number	3
DOIs	https://doi.org/10.1007/bf02438266
State	Published - Mar 2003
Externally published	Yes

Keywords

Mitosis
Periodic solution
Steady state
Subcritical bifurcation
Supercritical bifurcation

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10.1007/bf02438266

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@article{799b5600f0c54b868813521e1160d643,

title = "Bifurcation analysis of mitotic model of frog eggs",

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.",

keywords = "Mitosis, Periodic solution, Steady state, Subcritical bifurcation, Supercritical bifurcation",

author = "Lu, \{Jin Hu\} and Zhang, \{Zi Fan\} and Zhang, \{Suo Chun\}",

year = "2003",

month = mar,

doi = "10.1007/bf02438266",

language = "英语",

volume = "24",

pages = "284--297",

journal = "Applied Mathematics and Mechanics (English Edition)",

issn = "0253-4827",

publisher = "Springer China",

number = "3",

}

TY - JOUR

T1 - Bifurcation analysis of mitotic model of frog eggs

AU - Lu, Jin Hu

AU - Zhang, Zi Fan

AU - Zhang, Suo Chun

PY - 2003/3

Y1 - 2003/3

N2 - 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.

AB - 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.

KW - Mitosis

KW - Periodic solution

KW - Steady state

KW - Subcritical bifurcation

KW - Supercritical bifurcation

UR - https://www.scopus.com/pages/publications/0042805136

U2 - 10.1007/bf02438266

DO - 10.1007/bf02438266

M3 - 文章

AN - SCOPUS:0042805136

SN - 0253-4827

VL - 24

SP - 284

EP - 297

JO - Applied Mathematics and Mechanics (English Edition)

JF - Applied Mathematics and Mechanics (English Edition)

IS - 3

ER -

Bifurcation analysis of mitotic model of frog eggs

Abstract

Keywords

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