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Behavior of an Exponential System of Difference Equations

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  • A. Q. Khan
  • M. N. Qureshi

Abstract

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.

Suggested Citation

  • A. Q. Khan & M. N. Qureshi, 2014. "Behavior of an Exponential System of Difference Equations," Discrete Dynamics in Nature and Society, Hindawi, vol. 2014, pages 1-9, September.
    • Handle: RePEc:hin:jnddns:607281
    DOI: 10.1155/2014/607281
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