技术扩散现象的稳定性

在技术传播中两类群体在互动中的扩散现象的变化规律取决于内增长率。当两类群体的接触率视为常数时 ,如果内增长率小于零 ,平凡解全局渐近稳定 ,技术扩散现象发展到一定时候会衰减直到消失。当内增长率大于零时 ,平凡解变得不稳定 ,但非平凡解稳定。由此推出 ,扩散现象由快速扩散到逐渐趋于稳定。

技术扩散现象的指数稳定性

考虑在技术传播中两类群体的变化规律 ,得到两个阈值 R0 和 R1.当 R0 <1时 ,技术扩散现象全局指数地衰减 ;当 R1>1时 ,存在技术扩散平衡点 ,技术扩散现象在局部范围内将指数地趋于稳定。

Research on the Diffusion Model of Innovation

In this paper, the model of competing technologies diffusion was set up in order to analyze the relationship of competing technologies in diffusion process, and the stability of diffusion model with two kinds of competing technologies was analyzed. It is concluded that dominator can hold competing vantage by suppressing its opponent, and besides, whether competing technology can gain superiority in diffusion process depends on the success rates of technology diffusion when the two kinds of technology match each other in strength.