%0 Journal Article %T On the rational difference equation \(y_{{n+1}}={\frac {\alpha_{{0}}y_{{n}}+\alpha_{{1}}y_{{n-p}}+\alpha_{{2}}y_{{n-q}} +\alpha_{{3}}y_{{n-r}}+\alpha_{{4}}y_{{n-s}}}{\beta_{{0}}y_{{n}}+\beta_{{1}}y_{{n-p} }+\beta_{{2}}y_{{n-q}}+\beta_{{3}}y_{{n-r}}+\beta_{{4}}y_{{n-s}}}}\) %A Alotaibi, A. M. %A El-Moneam, M. A. %A Noorani, M. S. M. %J Journal of Nonlinear Sciences and Applications %D 2018 %V 11 %N 1 %@ ISSN 2008-1901 %F Alotaibi2018 %X In this paper, we examine and explore the boundedness, periodicity, and global stability of the positive solutions of the rational difference equation \[ y_{{n+1} }={\frac {\alpha_{{0}}y_{{n}}+\alpha_{{1}}y_{{n-p}}+\alpha_{{2}}y_{{n-q}} +\alpha_{{3}}y_{{ n-r}}+\alpha_{{4}}y_{{n-s}}}{\beta_{{0}}y_{{n}}+\beta_{{1}}y_{{n-p} }+\beta_{{2}}y_{{n-q} }+\beta_{{3}}y_{{n-r}}+\beta_{{4}}y_{{n-s}}}}, \] where the coefficients \({\alpha_{i},\beta_{i}\in (0,\infty ),\ i=0,1,2,3,4},\) and \(p,q,r\), and \(s\) are positive integers. The initial conditions \(y_{-s},...,y_{-r},..., y_{-q},..., y_{{-p }},..., y_{-1},y_{0}\) are arbitrary positive real numbers such that \(p