单子丹，陈琳，曾燕红，李慧敏

摘要：建立高度融合的协同创新机制，营造协同高效的创新环境是提升服务生态系统群组关系韧性的关键。基于系统种群共生演化的基本特征，采用Lotka-Volterra共生模型的不同作用参数表征服务吸收单元、整合单元之间的强弱关系;根据数字化导引下种群能量聚变的柔性效应和敏捷效应，构建组织嵌入时滞和业务时滞双维度微分方程，搭建局部稳定性分析模型给出种群共生与外部环境演化的协同机制。经MATLAB仿真结果表明：互惠共生关系为服务吸收单元和整合单元间最佳匹配模式;双维度时滞的出现影响生态系统的整体稳定性，且对服务吸收单元的影响大于整合单元。基于时序性判断数字化导向下柔性种群的互作关系，可助推数字技术与服务生态系统应用场景的深度融合，催生企业新架构、新场景和新范式的形成。

关键词：服务生态系统;共生演化;数字化技术;柔性种群;Lotka-Volterra模型

DOI：10.16315/j.stm.2021.05.008

中图分类号： F 273.5

文献标志码： A

Research on symbiotic relationship among flexible populations under

digital guidance： Based on the perspective of service ecosystem

SHAN Zi-dan1，2，CHEN Lin1，ZENG Yan-hong1，LI Hui-min1

（1.School of Economics and Management， Harbin University of Science and Technology， Harbin 150040， China;

2.Research Center of High Tech Industry Development， Harbin University of Science and Technology， Harbin 150040， China）

Abstract：To establish a highly integrated collaborative innovation mechanism and create a collaborative and efficient innovation environment is the key to improve the environmental adaptability and group relationship resilience of service ecosystem. The complex relationship among service absorption unit and integration unit is represented by different action parameters of Lotka-Volterra symbiosis model. According to the flexibility and agility effect of population energy fusion under digital guidance， the two dimensional differential equations of organization embedding delay and business delay are constructed， The local stability analysis model is built to give the cooperative mechanism of population symbiosis and external environment evolution. The simulation results of MATLAB show that the reciprocal symbiosis is the best matching mode between service absorption unit and integration unit; The occurrence of two-dimensional delay affects the overall stability of the ecosystem， and the impact on service absorption unit is greater than that of integration unit. Based on timing judgment， the interaction network of digital oriented flexible population can promote the deep integration of digital technology and service ecosystem application scenarios， and promote the formation of new enterprise architecture， new scenarios and new paradigms.

Keywords：service ecosystem; symbiotic evolution; digital technology; flexible population; Lotka-Volterra model

近年來，服务经济的快速崛起推动了国民经济结构性改革。从制造业服务化到发展服务型制造，服务投入与产出的占比逐年提升，服务业向跨领域行业的渗透能力日趋明显。传统的产品竞争逐渐转向差异化的服务之争，如何以服务化思维处理发展问题是企业获取核心竞争优势的关键。2016年7月由工信部、发改委与中国工程院印发的《发展服务型制造专项行动指南》指出要加速生产型制造向服务型制造的转变。……