一个经济网络模型的摄动

Perturbation of Economic Network Model

设经济网络G的一种发展模型为X(t＋1)=(I-D)A^(-1)x(t)，其中A-A(G)为G的非负权矩阵。本文对这一模型的摄动与均衡发展速度，均衡发展比例及危机周期的关系问题做了讨论，并得出了一些有实际经济背景意义的结论。

Assume G is one of the developmental model of economic network x (t+1 ) =(I=D) A-1x (t). therein A=A (G) is nonnegative weight matrix of G. At this point- we dis-cussed perturbation and,balance developmental rate of model, balance developrnental propor-tion, the relationship of crisis cycle, and obtained a significant conclusion of actual economicbackground.