一个时滞经济增长模型的动态分析

提出了一个基于Solow模型的考虑时滞作用的多种资本投入的经济增长模型，该模型的生产函数是满足“新古典”条件的一次齐次函数，在所的条件下，证明了系统有唯一的正平衡解；使用单调互动力系统的已有结果推得系统的正解是全局稳定的，关于参数的静态分析也与经典的增长模型完全一致，结果表明，在考虑时滞与多资本的因素下，经济系统仍能达到稳定状态，这在一定意义上揭示了Solow模型的深刻内涵。

Dynamical Analysis On The Model for Economic Growth With Delay

In this paper, the model for economic growth with multiple capital inputs influenced by time delay is proposed on the basis of the solow model. In the model, the production function is assumed to be nonclassic and constant returns to scale. In these conditions, there exists a unique positive solution with steady state. By using the method of monotionic dynamic system, the solution is proved to be stable in the situation as a whole. The results of comparative statics are similar to those in the solow model. In consideration of multiple capital inputs influenced by time delay, the economic system can still reach to the stable state, which shows the solow model to some extent.