Steady-state solutions and stability for a cubic autocatalysis model

作者: Mei-hua Wei , Jianhua Wu , Yinnian He

DOI: 10.3934/CPAA.2015.14.1147

关键词:

摘要: A reaction-diffusion system, based on the cubic autocatalytic reaction scheme, with the prescribed concentration boundary conditions is considered. The linear stability of unique spatially homogeneous steady state solution is discussed in detail to reveal a necessary condition for the bifurcation this solution. non-uniform stationary structures, especially bifurcating from double eigenvalue, are studied by use Lyapunov-Schmidt technique and singularity theory. Further information about multiplicity stability bifurcation solutions are obtained. Numerical examples presented support our theoretical results.

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