Stability Analysis of a System of Exponential Difference Equations

Q. Din, K. A. Khan and A. Nosheen

Discrete Dynamics in Nature and Society, 2014, vol. 2014, 1-11

Abstract:

We study the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions of the following system of exponential difference equations: , , where the parameters , and for and initial conditions , and are positive real numbers. Furthermore, by constructing a discrete Lyapunov function, we obtain the global asymptotic stability of the positive equilibrium. Some numerical examples are given to verify our theoretical results.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:375890

DOI: 10.1155/2014/375890

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