On the system of two difference equations of exponential form: xn+1 = a+bxn-1e-yn, yn+1 = c+dyn-1e-xn
It is the goal of this paper to study the boundedness, the persistence and the asymptotic behavior of the positive solutions of the system of two difference equations of exponential form x(n+1) = a + bx(n-1)e(-yn), y(n+1) = c + dy(n-1)e(n)(-x), where a, b, c, d are positive constants, and the initial values x(-1), x(0), y(-1), y(0) are positive real values. (C) 2011 Elsevier Ltd. All rights reserved.
difference equations boundedness persistence asymptotic behavior