Global dynamics of a rational system of difference equations in the plane

Authors

Dž Burgić, Univerzitet u Tuzli
M. R.S. Kulenović, University of Rhode Island
M. Nurkanović, Univerzitet u Tuzli

Document Type

Article

Date of Original Version

1-1-2008

Abstract

We investigate the global stability properties and asymptotic behavior of solutions of the system of difference equations Xn+1 = Xn/a+Yn2, Yn+1 = Yn/b+Xn2, n = 0, 1,... where the parameters a and b are positive numbers, and the initial conditions x0 and y0 are arbitrary nonnegative numbers.

Publication Title, e.g., Journal

Communications on Applied Nonlinear Analysis

Volume

15

Issue

1

Citation/Publisher Attribution

Burgić, Dž, M. R. Kulenović, and M. Nurkanović. "Global dynamics of a rational system of difference equations in the plane." Communications on Applied Nonlinear Analysis 15, 1 (2008): 71-84. https://digitalcommons.uri.edu/math_facpubs/183