【摘要】 本文利用线性稳定性及分支解稳定性的一般定理讨论了 Activator-Inhibitor模型所对应的平衡态方程组的分支解的稳定性,得出了其分支解在一定条件下是稳定的,从而在理论上保证了 Activator-Inhibitor 模型的稳定的非常数平衡解的存在性.更多还原

【Abstract】 By means of the general theorems of linear stability and stability of bifur- cation solutions,this paper disscusses the stability of bifurcation soluions of steadystate equations of the Activator-Inhibitor model,proves that the bifur- cation solutions are stable under certain conditions,and confirms theoretica- lly the existences of stable nonconstant steady-state solutions.更多还原