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We observe that the DGLAP evolution equations at NNLO analysis predicts aratio of the structure functions in region of small Bjorken variable $x$. Theratio $F_{L}(x,Q^{2})/F_{2}(x,Q^{2})$ is obtained and compared with theprediction of the dipole model and HERA data. In particular we show that thisratio is lower than dipole model bound at high-$Q^{2}$ values and it is higherat low-$Q^{2}$ values . Then the effect of adding a higher twist term to thedescription of the ratio $F_{L}(x,Q^{2})/F_{2}(x,Q^{2})$  for $Q^{2}< 20~GeV^{2}$ is investigated. Also the bounds are discussed byincluding charm distribution on $F_{L}/F_{2}$. We discuss, furthermore, howthis ratio can be determine the proton structure function with respect to thereduced cross section at high-$y$ values.

Ratio of the structure functions and the color dipole model bound