生态学视角下港口产业集群共生模型的稳定性

Stability of symbiosis model of port industry cluster in the perspective of ecology

以种群生态学理论为依托,对Lotka-Volterra模型加以改进,添加反映港务集团和码头公司对自身阻滞作用的项,构建更为实际的反映港口产业集群内部港务集团与码头公司之间依托型互利共生关系的非线性时滞模型.由非线性动力学理论,得到系统正平衡点局部渐近稳定的充分条件,并给出经济学解释,为港口产业集群实现和谐发展及政府和相关企业部门制定区域经济发展规划提供理论依据.

Based on theory of population ecology,the Lotka-Volterra model which reflect the interspecies relationship is improved,some items are added to effect the blocking effects of the port group and a container terminal company on their own,the more realistic nonlinear delay model which reflect the supporting mutualism relation between the pot group and a container terminal company is established.By means of the nonlinear dynamic theory,the local asymptotically stability of positive equilibrium is investigated,and economics explanation is given of the conclusion,It gives the theoretical basis for the realization of harmonious development of port industrial clusters and policy making of regional economy to the government and related business department.