基于传染病模型的集群内异质企业间知识传播机理分析与仿真  

Analysis and Simulation of the Knowledge Diffusion Mechanism within Industrial Clusters Based on Epidemic Model

作　　者：胡绪华[1] 陈丽珍[1] 吕魁[2] 

机构地区：[1]江苏大学财经学院,江苏镇江212013 [2]南京审计学院审计信息工程重点实验室,江苏南京210029

出　　处：《运筹与管理》2015年第3期248-257,共10页Operations Research and Management Science

基　　金：国家自然科学基金资助项目(71203079);国家自然科学基金资助项目(70973045);江苏省高校哲学社会科学基金(2010SJB79005);江苏大学人文社科基金(10JDG155)

摘　　要：知识传播是产业集群内知识资源动态累积的过程,是新时期产业集群竞争优势的重要源泉之一。本文根据企业规模及其在产业集群内地位的差异将集群企业划分大小两类异质企业,构建了基于传染病模型的产业集群内异质企业间的知识传播模型,通过模型分析推导出了知识传播再生数的一般表达式,验证了知识传播平衡点的存在性与稳定性。进一步结合仿真分析发现,企业间接触率、学习成功率、大小企业比例均会影响到知识传播的再生率,进而影响集群知识传播的平衡点,且在知识传播再生数大于1的情况下,随着集群内大企业占比的上升,知识传播再生数将相应下降,集群内知识交流氛围的活跃性也将下降。A model is analyzed to reveal the knowledge diffusion mechanism of the industry cluster based on epidemic model. Knowledge is the main resource of the competitive advantage of industry clusters. It is assumed that there are two kinds of enterprises（the big enterprises and the small enterprises）within the clusters. After a systematic review of the literature, a knowledge diffusion mechanism of the industry clusters is structured. The general expression of the reproductive number is calculated, and the existence and stabilization of the knowledge diffusion equilibrium are verified. With the theoretical derivation and simulation, it is revealed that the contact rate, learning success rate and proportion of the two kinds of enterprises will influence the knowledge diffusion reproductive numher and the equilibrium point. The knowledge diffusion reproductive number is reduced with the increase of the large enterprise proportion, so is the activeness of knowledge communication in industrial clusters.

关 键 词：产业集群 知识传播 传染病模型 仿真 

分 类 号：F062[经济管理—政治经济学]