受科技因素影响的Solow模型的动力学分析

Dynamical Analysis of Solow Model Suffered from Technology Factors

摘要: 随着经济的快速发展，环境问题日益突出。为了防止环境系统的逐渐恶化抑制经济的发展，迫切需要实现经济与环境的协调发展。本文在索洛环境净化模型的基础上，引入生产科技因素，考虑科技因素对模型的影响。它能较好地解释经济环境系统运行的动态演化规律。一方面生产技术的进步可以提高生产率，另一方面也可以加快对环境污染的控制。通过对模型的定性分析和数值模拟，可以探索资本与环境污染之间的相互关系，实现经济与环境的协调发展。

Abstract: With the rapid development of economy, environmental problems have become increasingly prominent. In order to prevent the gradual deterioration of the environmental system and restrain the development of the economy, it is urgent to realize the coordinated development of the econo-my and the environment. This paper is based on the Solow model with environmental purification, we introduce production technology to consider the impact of production technology on the model. It can explain the dynamic evolution law of economic environment system operation well. On the one hand, the progress of production technology can improve productivity; on the other hand, it can also speed up the control of environmental pollution. Through theoretical analysis and numerical simulation of the model, we can explore the mutual relationship between capital and environmen-tal pollution, and realize the coordinated development of economy and environment.