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.
Phong, M. N. & Khuong, V. V. (2016). Asymptotic behavior of a system of two difference equations of exponential form. International Journal of Nonlinear Analysis and Applications, 7(2), 319–329. https://doi.org/10.22075/ijnaa.2017.1301.1320
MLA
Phong, M. N., & Khuong, V. V. "Asymptotic behavior of a system of two difference equations of exponential form", International Journal of Nonlinear Analysis and Applications, 7, 2, 2016, 319–329. doi: 10.22075/ijnaa.2017.1301.1320
HARVARD
Phong, M. N., & Khuong, V. V. (2016). 'Asymptotic behavior of a system of two difference equations of exponential form', International Journal of Nonlinear Analysis and Applications, 7(2), pp. 319–329. doi: 10.22075/ijnaa.2017.1301.1320
CHICAGO
Phong, M. N. & Khuong, V. V., "Asymptotic behavior of a system of two difference equations of exponential form." International Journal of Nonlinear Analysis and Applications, 7 2 (2016): 319–329, doi: 10.22075/ijnaa.2017.1301.1320
VANCOUVER
Phong M. N., Khuong V. V. Asymptotic behavior of a system of two difference equations of exponential form. IJNAA. 2016;7(2):319–329. doi: 10.22075/ijnaa.2017.1301.1320
International Journal of Nonlinear Analysis and Applications