基于扩展logistic模型的产业集群生态共生稳定性分析

通过建立扩展的Logistic模型,描述不同共生关系下的集群内企业间的成长情况,并进行生态稳定性分析。研究发现集群在对称互利共生且企业独立成长的情形下,企业的质参量水平最高,也是最和谐稳定的。通过对共生关系的分析,提出产业集群生态共生稳定平衡的两点重要条件,其一集群内企业间必须保持一定的差异性,其二集群内企业必须协作与竞争并存。

The Ecological Symbiosis Stability Analysis of Industrial Clusters Based on Extended Logistic Model

From the viewpoint of ecology, the industrial cluster in a region has Ecological Symbiosis characteristic. In this paper, through the establishment of the extended Logistic model, we described the enterprises growth in clusters under different symbiosis relationship and analysed the ecological stability. The research found that in the case of the cluster in the symmetric mutualism and enterprise independent growth situation, the enterprises have the highest quality parameters level and more harmonious and stable. Meanwhile by analysed the relationship of mutualistic symbiosis, two important conditions of the industrial clusters ecological symbiosis for a stable equilibrium. One is that the enterprises in the clusters must maintain a certain difference; the other is that the enterprises in the clusters must be the coexistence of cooperation and competition.