Stability Of The Industrial Clusters Based On Mathematical Ecology Research

Industrial cluster strategy has become a new industrial development strategy, the development of industrial clusters has played a pivotal role in promoting regional economic and national economic development. Like other countries in the world, there are many influential industrial clusters in our country. Although industrial cluster in our country has developed rapidly,there are some problems in the process of its development,a more significant problem is that, because of the irrational internal structure, some industrial cluster can't maintain the sustainability of development, even some industrial clusters have begun to show signs of recession.Obviously, the recession of industrial clusters would seriously affect regional economic development. Therefore, for the sustainable development of industrial clusters and regional economic development, it is necessary to study the stability of industrial cluster to find out the conditions that keep industrial cluster in stability so that it can maintain sustained and healthy development.Firstly, this paper outlines the development of industrial clusters in China and proposes the problem about the stability of industry cluster, and then reviews the research results that has been done by domestic and foreign researcher on industrial cluster and stability in mathematical ecology. Through the contrast in some related aspects between industrial cluster and biomes, finding that in the aspect of internal structure and evolution mechanism industrial clusters and biological communities are very similar, and at the some time internal structure and evolution mechanism are extremely relevant with the stability of the system. Therefore, the model which be used to study the stability of biomes, if making some change, can be used to analyze the stability of industrial clusters.Based on all of these, this paper, making use of the theory and method of stability in mathematical ecology, through the transplantation of the stability model in mathematical ecology, has analyzed the stability of two types of industrial clusters.