Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
837179 | Nonlinear Analysis: Real World Applications | 2015 | 21 Pages |
Abstract
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 difficultly, 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.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Engineering (General)
Authors
Meihua Wei, Jianhua Wu, Gaihui Guo,