基于Logistic-Volterra模型的制造企业与物流企业联动发展稳定性分析

摘要

The traditional literatures mainly consider the cooperative relationship while neglecting the competitive relationship between manufacturing and logistics enterprises during interactive development.An improved model,namely Logistic-Volterra model,was proposed based on the traditional Logistic model,which considered the contribution coefficients and competition coefficients at the same time.Firstly,the Logistic-Volterra model was built and the stability solution was sovled,then the mathematical conditions for achieving stability and the interpretation of reality were discussed.Secondly,the affecting factors on the interactive development of manufacturing and logistics enterprises were discovered by using Matlab numerical simulation,and the differences between the improved model and traditional model were also discussed.Finally,the manufacturing enterprise A and logistics enterprise B were taken as an example to analyze the competitive behavior in the process of cooperation;furthermore,the impact of coopetition behavior on the interests was also analyzed.The theoretical analysis and simulation results show that the stability of the system is highly affected by contribution coefficient;competition coefficient and environmental capability,the result is more reasonable when considering the competition relationship in the model.It means that manufacturing and logistics enterprises should fully address the effects of competition on both sides.%现有研究主要考虑制造企业与物流企业之间的合作关系,而忽略两者之间的竞争关系.为此,在阻滞增长模型的基础上同时考虑了贡献系数和竞争系数,提出改进的Logistic-Voherra模型.首先,构建了Logistic-Volterra模型并对其均衡点进行求解和判定,得出模型达到稳定性解的数学条件和现实解释;其次,运用Matlab数值模拟检验制造企业与物流企业形成稳定系统的影响因素,并比较分析了改进前后模型对系统的影响的差异;最后,以制造企业A和物流企业B为例,分析两家企业在开展合作过程中的竞争行为,并且分析这种竞合行为对双方利益的影响.理论分析和实验结果表明,系统的稳定性受到贡献系数、竞争系数以及环境容量的影响,考虑了竞争关系的模型所求出的解更具合理性,制造企业与物流企业必须正视竞争对双方带来的影响.