Association Journal of CSIAM
Supervised by Ministry of Education of PRC
Sponsored by Xi'an Jiaotong University
ISSN 1005-3085  CN 61-1269/O1

Chinese Journal of Engineering Mathematics ›› 2015, Vol. 32 ›› Issue (2): 307-316.doi: 10.3969/j.issn.1005-3085.2015.02.015

Previous Articles    

Global Exponential Stability of the Single Commodity Price Fluctuation Model with Delays and Impulses

SONG Xue-li,   ZHAO Pan,   WANG Xiao-wei   

  1. School of Science, Chang'an University, Xi'an 710064
  • Received:2014-06-21 Accepted:2014-12-18 Online:2015-04-15 Published:2015-06-15
  • Supported by:
    The National Natural Science Foundation of China (11201038; 11171043; 11202035; 11001031); the Youth Science and Technology Nova Program of Shaanxi Province (2014KJXX-55); the Special Fund for Basic Scientific Research of Central Colleges in Chang'an University (2013G2121017; CHD2012TD015; CHD2012JC010); the Technology Foundation for Selected Overseas Chinese Scholar, Ministry of Personnel of China the Natural Science. 

Abstract:

This paper is devoted to the global exponential stability of the single commodity price fluctuation model with delayed and impulsive factors. Particularly, by means of nonlinear measure method, we provide a sufficient condition for global exponential stability of the price fluctuation model. Compared with some existing results, our method abandons the conventional monotonicity of demand and supply functions and considers the impulsive effect on the price fluctuating process, which means that our model is a generalization of existing ones. Moreover, our result is partial improvement and extension of some existing ones. An illustrative example and its simulation are provided to illustrate validity of our method and result.

Key words: global exponential stability, price fluctuation, nonlinear measure, delay, impulse

CLC Number: