具时滞与反馈控制的企业集群和第三方物流的依托型共生模型的持久性

Permanence for an inter-depending symbiotic model of enterprise cluster and the third part logistics with delays and feedback controls

企业集群与第三方物流的关系类似于生物生态系统中的共生进化.提出了一个具时滞与反馈控制的企业集群和第三方物流的依托型共生模型,获得了该模型持久性生存的充分条件,得到了一些新的结果,发展了前人的研究成果.最后,举例说明结果的可行性,并对所得结果作出简要的经济解释.

The relation between enterprise cluster and the third party logistics is similar to the symbiosis evolution of biological ecosystem.We present an inter-depending symbiotic model of enterprise cluster and the third part logistics with time delays and feedback controls to illustrate their interactions and describe the law of their development based on ecology theory.Sufficient conditions are obtained to ensure the model to be permanent.Some new results are obtained and some known results are generalized.Finally,we present numerical examples to illustrate the feasibility and effectiveness of our results and we facilitate the interpretation of our results from the perspective of economics.