技术创新时空扩散的数学模型与模拟

在总结以往研究结论的基础上，对技术创新时空扩散的本质和规律展开了深入研究，并建立了描述扩散时空展开模式的数学模型，为扩散的预测和控制提供了参考。通过对技术创新时空扩散规律的研究，提出企业综合质量的概念，以测度企业吸纳技术创新的综合支撑能力；在扩散空间的划分问题上，提出技术创新扩散质量空间概念，不仅有利于寻求时空扩散机理，而且使扩散数学模型大大简化，增加了实用性，为技术创新时空扩散研究探索了一条新思路。

The Mathematics Model and Simulation of Space-time Diffusion for Technological Innovation

Based on the existed research, studies the essence and laws of space-time diffusion for technological innovation and establishes its mathematics model. It is directive for the forecasting and controlling of technological innovation diffusion. In order to measure the ability of absorbing technological innovation for enterprise, the paper puts forward the concept of enterprise synthesis mass during the research of laws of space-time diffusion. On the issue of carving up the diffusion space, the paper proposes the concept of diffusion mass space, which benefits for studying the mechanism of diffusion and simplifying the mathematics model, thus it gives a new thought for exploring technological innovation diffusion.