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Discrete Dynamics in Nature and Society
Volume 2008, Article ID 792031, 12 pages
Research Article

The Study of the Chaotic Behavior in Retailer's Demand Model

School of Management, Tianjin University, Tianjin 300072, China

Received 26 February 2008; Accepted 14 September 2008

Academic Editor: Weihong Huang

Copyright © 2008 Junhai Ma and Yun Feng. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Based on the work of domestic and foreign scholars and the application of chaotic systems theory, this paper presents an investigation simulation of retailer's demand and stock. In simulation of the interaction, the behavior of the system exhibits deterministic chaos with consideration of system constraints. By the method of space's reconstruction, the maximal Lyapunov exponent of retailer's demand model was calculated. The result shows the model is chaotic. By the results of bifurcation diagram of model parameters 𝑘 , 𝑟 and changing initial condition, the system can be led to chaos.