期刊
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS
卷 22, 期 -, 页码 155-175出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.nonrwa.2014.08.003
关键词
Glycolysis model; Turing's instability; Steady state solutions; Lyapunov-Schmidt procedure; Normal form
资金
- National Natural Science Foundation of China [11271236]
- Fundamental Research Funds for the Central Universities [GK201401004]
- Foundations of Shaanxi Educational Committee [14JK1862]
In this paper, a two-species glycolysis model is investigated in which one species is substrate and the other is activator. A linear stability analysis shows that there is a critical value for the diffusion rate of the substrate above which the constant steady state solution is of Turing's instability. Next, the steady state bifurcations are analyzed not only from a simple eigenvalue, but more difficulty, from a double one The theoretical results are confirmed by numerical simulations. Our main methods are based on bifurcation theory, Lyapunov-Schmidt technique and singularity theory. (C) 2014 Elsevier Ltd. All rights reserved.
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