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Discrete Dynamics in Nature and Society
Volume 2014, Article ID 607281, 9 pages
Research Article

Behavior of an Exponential System of Difference Equations

Department of Mathematics, University of Azad Jammu and Kashmir, Muzaffarabad 13100, Pakistan

Received 30 April 2014; Accepted 21 July 2014; Published 15 September 2014

Academic Editor: Zhan Zhou

Copyright © 2014 A. Q. Khan and M. N. Qureshi. 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.


We study the qualitative behavior of the following exponential system of rational difference equations:  = /,   = /,   =  where , , , , , and and initial conditions , , , and are positive real numbers. More precisely, we investigate the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions that converges to unique positive equilibrium point of the system. Some numerical examples are given to verify our theoretical results.