On stability analysis of a class of three-dimensional system of exponential difference equations

The boundedness character, persistent nature, and asymptotic conduct of non-negative outcomes of the system of three dimensional exponential form of difference equations were studied in this research:

$$\begin{array}{rcl}{x}_{n+1}& =& a{x}_n+b{y}_{n-1}{e}^{-x_n},\\ y_{n+1}& =& c{y}_n+d{z}_{n-1}{e}^{-y_n},\\ z_{n+1}& =& e{z}_n+f{x}_{n-1}{e}^{-z_n},\end{array}$$

where $a,b,c$, $d,e$ and $f$ are non-negative real values, and the initial values $x_{-1},x_0,y_{-1},y_0,z_{-1},z_0$ are non-negative real values.