Pattern Formation of Nonconstant Steady-State Solutions to the n-Dimensional Glycolysis Model

WEI Mei-hua; CHANG Jin-yong; QI Lan>; ZHANG Qiao-wei

doi:10.3879/j.issn.1000-0887.2014.08.011

Volume 35 Issue 8

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WEI Mei-hua, CHANG Jin-yong, QI Lan>, ZHANG Qiao-wei. Pattern Formation of Nonconstant Steady-State Solutions to the n-Dimensional Glycolysis Model[J]. Applied Mathematics and Mechanics, 2014, 35(8): 930-938. doi: 10.3879/j.issn.1000-0887.2014.08.011

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Pattern Formation of Nonconstant Steady-State Solutions to the n-Dimensional Glycolysis Model

doi: 10.3879/j.issn.1000-0887.2014.08.011

¹School of Mathematics and Statistics,Yulin University, Yulin, Shaanxi 719000, P.R.China;²Institute of Information Engineering, Chinese Academy of Sciences, Beijing 100093, P.R.China

Funds: The National Natural Science Foundation of China(11271236)

Received Date: 2014-02-26
Rev Recd Date: 2014-06-13
Publish Date: 2014-08-15

Abstract

Abstract

A glycolysis model under the Neumann boundary condition was investigated in the n-dimensional space. Based on the local bifurcation theory, the local structure of the nonconstant steady-state solution to the model was studied with diffusion coefficient d₁ as the bifurcation parameter. Then, according to the global bifurcation theory and the Leray-Schauder degree theory, global existence of the nonconstant steady-state solution was discussed. Moreover, the theoretical results were confirmed through numerical simulations. It is shown that the spatial pattern can form for the glycolysis model.
- glycolysis model,
- steady-state solution,
- pattern formation,
- global bifurcation

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References(15)

References

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