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具时滞效应的多商品蛛网模型及其稳定性分析
引用本文:张亚莉,杨志春.具时滞效应的多商品蛛网模型及其稳定性分析[J].数学的实践与认识,2010,40(3).
作者姓名:张亚莉  杨志春
作者单位:1. 长江师范学院数学与计算机学院,重庆,408003
2. 重庆师范大学数计学院,重庆,400047
基金项目:国家自然科学基金(10971240); 重庆市自然科学基金(CSTC2008BB2364); 重庆市教委科学技术研究项目(KJ080806)
摘    要:构建一类具有时滞效应的多商品非均衡蛛网模型.然后建立一个广义时滞差分不等式,在此基础上讨论该蛛网模型的平衡点存在性,并着重对其稳定性进行分析.

关 键 词:多商品市场  蛛网模型  广义系统  时滞  稳定性

Stability Analysis on Cobweb Model with Multi-Products and Time Delay Effects
ZHANG Ya-li,YANG Zhi-chun.Stability Analysis on Cobweb Model with Multi-Products and Time Delay Effects[J].Mathematics in Practice and Theory,2010,40(3).
Authors:ZHANG Ya-li  YANG Zhi-chun
Institution:ZHANG Ya-li~1,YANG Zhi-chun~2 (1.College of Mathematics , Computer Science,Yangtze Normal University,Chongqing 408003,China) (2.College of Mathematics , Computer Science,Chongqing Normal University,Chongqing 400047,China)
Abstract:This paper firstly formulates a Disequilibrium Cobweb model with multi-products and Time-delay effects.Next,a generalized difference inequality with delays is established. Based on the obtained inequality,we finally investigate the existence and stability of equilibrium of the cobweb model.
Keywords:multi-products market  cobweb model  singular system  time delay  stability  
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