技术创新的反应扩散模型研究

Study on Reaction-diffusion Model of Technical Innovation

首先利用微分方程来描述技术创新的反应扩散过程,在充分考虑技术与环境之间相互关系的基础上,给出了具有代表性的几种技术创新扩散模型:竞争、互补、替代等模型;再根据微分方程定性理论,对所建立的模型进行经济分析,以寻求技术与环境之间的最佳协调状态。为模拟与预测市场的新旧技术更替及结构演变过程提供了理论依据,同时对技术创新的发展完善及创新技术的扩散推广具有一定的现实意义。

With the theory of differential equation, the reaction-diffusion equations of technological innovation are described. We set up the models about reaction-diffusion equations of technological innovation based on the relation between technique and environment, including competition model, mutual-aid model, and substitute model. Further more, using differential equation theory, this paper makes a economic analysis of these models for seeking the harmony between technique and environment. The conclusions can provide scientific evidence for simulating and forecasting the evolution of structure and substitution of new technology for old one. In the meantime, the results are of significance for developing and popularizing the technological innovation.