In this paper, we study the persistence, boundedness, convergence, invariance and global asymptotic behavior of the positive solutions of the second-order difference system $$\begin{aligned} x_{n+1}&= \alpha _1 + a e ^{-x_{n-1}} + b y_{n} e ^{-y_{n-1}},\\ y_{n+1}&= \alpha _2 +c e ^{-y_{n-1}}+ d x_{n} e ^{-x_{n-1}} \quad n=0,1,2,\ldots \end{aligned}$$ where $$\alpha _1, \alpha _2, a, b , c,d$$ are positive real numbers and the initial conditions $$x_{-1},x_0, y_{-1}, y_0$$ are arbitrary nonnegative numbers.

中文翻译：

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具有指数的二阶非线性差分系统的动力学

在本文中，我们研究了二阶差分系统的正解的持续性，有界性，收敛性，不变性和全局渐近行为$$ \ begin {aligned} x_ {n + 1}＆= \ alpha _1 + ae ^ {-x_ {n-1}} + b y_ {n} e ^ {-y_ {n-1}}，\\ y_ {n + 1}＆= \ alpha _2 + ce ^ {-y_ {n-1 }} + d x_ {n} e ^ {-x_ {n-1}} \ quad n = 0,1,2，\ ldots \ end {aligned} $$其中$$ \ alpha _1，\ alpha _2，a ，b，c，d $$是正实数，初始条件$$ x _ {-1}，x_0，y _ {-1}，y_0 $$是任意非负数。