有对外贸易的社会再生产演化分析

对于有对外贸易的社会再生产，生产资料净出口依存度、消费资料净出口依存度是外部条件参数，影响社会再生产演化.在数学上，可以把有对外贸易的社会再生产演化归结为含外部参数的二维受控变系数线性系统递归问题.根据有对外贸易的社会再生产的实现条件，建立有对外贸易的社会再生产演化方程，并获得演化的传递矩阵及其特征值.有对外贸易的社会再生产演化包含了经典的马克思社会再生产演化.通过算例说明有对外贸易的社会再生产演化过程.

An Analysis about Evolution of the Social Reproduction with Foreign Trade

For the social reproduction with foreign trade, the net export dependence of capital goods means or consumer goods is external conditions parameters, which affects the evolution of social reproduction. Mathematically, the evolution of the social reproduction with foreign trade can be reduced to a recursive problem of two-dimensional linear system with controlled variable coefficients and external parameters. According to the realization conditions of the social reproduction with foreign trade, the evolution equation of the reproduction with foreign trade was established, and also the transfer matrix of evolution and its characteristic values were obtained. The evolution of the reproduction with foreign trade also includes the evolution of classical Marx''s social reproduction. An example calculation shows the evolution of the social reproduction with foreign trade.