n维糖酵解模型非常数稳态解的模式生成

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

研究了一类带Neumann边界条件的n维糖酵解模型.首先,以扩散系数d1为分歧参数,运用局部分歧理论分析了该模型非常数稳态解的局部结构.其次,利用全局分歧理论和LeraySchauder度理论讨论了非常数稳态解的全局存在性.最后,借助数值模拟证实了所得结论.分析结果表明n维糖酵解模型的空间模式可以生成.

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.