技术扩散现象的稳定性

Stability of the Technique Diffusion Phenomena

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。

In the interaction of two communities,the technique spreads phenomena occur frequently. The change characteristic of the diffusion phenomenon is decided by the intrinsic growth rate. If the contact rates of two communities are constant,the trivial solution is global asymptotic stable when the intrinsic growth rate is less than zero. So the kind of phenomenon disappears gradually. And when the intrinsic growth rate is larger than zero, the trivial solution of the model is not stable, and the non trivial solution of the model is stable. From here we get that the kind of phenomenon keeps going on.