Analysis of a class of cybernetic model and its stability on China´s urban-rural income gap

Since the reform and opening, the income gap has been widening between urban and rural in China, and the excessive income gap has challenged the sustainable economic growth, social justice and stability. This paper aims at predicting the developing trend of China´s urban-rural income gap by establishing a class of cybernetic model and analyzing the model´s stability. The results indicate that the income gap between urban and rural areas in China continues to keep an asymptotically stable growth in the future while the urban-rural income gap in China is within the controllable range.