Complex Dynamical Behaviors in a Dual Channel Supply Chain Model with Retailer's Service Input

作     者：ZHANG Yapeng ZHOU Wei ZHANG Yapeng;ZHOU Wei

作者机构：School of Mathematics and PhysicsLanzhou Jiaotong UniversityLanzhou 730070China School of Traffic and TransportationLanzhou Jiaotong UniversityLanzhou 730070China Key Laboratory of Railway Industry of Plateau Railway Transportation Intelligent Management and ControlLanzhou 730070China 

出 版 物：《Journal of Systems Science & Complexity》 (系统科学与复杂性学报（英文版）)

年 卷 期：2023年第36卷第3期

页      面：1144-1168页

核心收录：

学科分类：12[管理学] 0711[理学-系统科学] 1202[管理学-工商管理] 1201[管理学-管理科学与工程(可授管理学、工学学位)] 07[理学] 070104[理学-应用数学] 0701[理学-数学] 

基　　金：supported by the Foundation of a Hundred Youth Talents Training Program of Lanzhou Jiaotong University the Innovation Fund Project of Colleges and Universities in Gansu Province under Grant No.2021A-040. 

主　　题：Bifurcation analysis boundary equilibrium coexistence of attractors flip bifurcation global bifurcation 

摘      要：Based on bounded rationality,this paper established a price game model of dual channel supply chain composed of manufacturers and retailers.According to the eigenvalue of Jacobi matrix and Jury criterion,the stability of the equilibrium point is analyzed,and then the dynamic evolution process under the parameters of price adjustment speed and retailer s service input is studied through stability region,bifurcation diagram,maximum Lyapunov exponent diagram and attraction basin.The results show that the system enters chaos through flip and Neimark-Sacker bifurcation,and increase of price adjustment speed and service input value will make the system produce more dynamic behavior.In addition,it can be found that the impact of service input value on itself is much greater than that on manufacturers.Secondly,when adjustment speed is selected as bifurcation parameter,the change curve of sales price is inconsistent,in which the change of retailers mainly remains in periodic state,while manufacturers will gradually enter chaos.Finally,studies the evolution of attraction basin in which three kinds of attractors coexist.In particular,coexistence of boundary attractors and internal attractors increases the complexity of system.Therefore,enterprises need to carefully adjust parameters of the game model to control the stability of system and maintain the long-term stability of market competition.