基于Jury判据对加权蛛网模型稳定性的探讨  

The Discussion of Stability on the Weighted Cobweb Model by Jury Stability Criterion

作　　者：陈六新[1] 杨少康 朱伟[1] CHEN Liu-xin;YANG Shao-kang;ZHU Wei(Key Lab of Intelligent Analysis and Decision on Complex Systems, Chongqing University of Posts and Telecom-munications, Chongqing 400065, Chin)

机构地区：[1]重庆邮电大学复杂系统智能分析与决策重点实验室

出　　处：《数学的实践与认识》2018年第9期223-230,共8页Mathematics in Practice and Theory

基　　金：国家自然科学基金(61673080)

摘　　要：在传统的蛛网模型中同时对需求函数与供应函数引入权值，用以反映消费者和生产者对未来市场的预测和决策．在生产者根据近n个周期商品的价格决定商品的生产量和消费者根据近q个周期商品的数量决定商品的需求量的条件下，利用差分方程理论和Jury判据讨论了平衡点的稳定性区域，并在一些特殊情况下给出了平衡点稳定时参数的范围，改进并推广了部分文献中的相关结果．In this paper, weight is introduced in the traditional cobweb＇s demand function and supply function to reflect the consumer＇s and producer＇s forecasting of future market and decision-making. The producer decides the product based on the price of n cycles nearly and consumer decides the demand based on the number of q cycles nearly. We discuss the balance point by using the theory of differential equations and Jury stability criterion, and give the range of parameters in some special cases when the system is stable. Some results in literature are improved and extended.

关 键 词：蛛网模型 权值 稳定性区域 差分方程 Jury判据 

分 类 号：O175.7[理学—数学]