@article {
author = {Phong, Mai Nam and Khuong, Vu Van},
title = {Asymptotic behavior of a system of two difference equations of exponential form},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {7},
number = {2},
pages = {319-329},
year = {2016},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2017.1301.1320},
abstract = {In this paper, we study the boundedness and persistence of the solutions, the global stability of the unique positive equilibrium point and the rate of convergence of a solution that converges to the equilibrium $E=(\bar{x},\ \bar{y})$ of the system of two difference equations of exponential form:\begin{equation*}x_{n+1}=\dfrac{a+e^{-(bx_n+cy_n)}}{d+bx_n+cy_n},\ y_{n+1}=\dfrac{a+e^{-(by_n+cx_n)}}{d+by_n+cx_n}\end{equation*}where $a,\ b,\ c,\ d$ are positive constants and the initial values $ x_0,\ y_0$ are positive real values.},
keywords = {Difference equations,boundedness,persistence,asymptotic behavior,rate of convergence},
url = {https://ijnaa.semnan.ac.ir/article_2317.html},
eprint = {https://ijnaa.semnan.ac.ir/article_2317_fd9ef87284cd65c4c0051d2f2524b18c.pdf}
}