Global Dynamics of the System of Two Exponential Difference Equations Mai Nam Phong

Abstract

The purpose of this paper is to investigate the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of solutions of the system of two difference equations which contains exponential terms:where the parameters a, b, c, d, α, β, γ, δ and the initial values x 0 , y 0 are positive real numbers. Furthermore, we give some numerical examples to illustrate our theoretical results.2010 Mathematics Subject Classification. 39A10.