| 一般的Activator-Inhibitor模型的分支解的稳定性 |
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| 引用本文： | 吴建华,王吉.一般的Activator-Inhibitor模型的分支解的稳定性[J].陕西师范大学学报,1990(1). |
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| 作者姓名： | 吴建华 王吉 |
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| 作者单位： | 陕西师大数学系，陕西师大数学系 |
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| 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.
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| 关 键 词： | Activator-Inhibitor 模型 分支解 线性稳定性 K-单重特证值 |
The Stabiliiy of the Bifurcation Solutions of the General Activator-Inhibitor Model |
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| Wu Jianhua Wang Ji.The Stabiliiy of the Bifurcation Solutions of the General Activator-Inhibitor Model[J].Journal of Shaanxi Normal University: Nat Sci Ed,1990(1). |
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| Authors: | Wu Jianhua Wang Ji |
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| Institution: | Department of Mathematics |
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| 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. |
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| Keywords: | Activator-Inhibitor model bifurcation solution linear stability K-simple eigenvalues |
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