upside plot that the Mandel parameter varies between negative and positive values with collapse and revival behaviour. By entering the intensity-dependent coupling, it is seen that this parameter oscillates in negative region for all times. In figure \[mandel\](b), we have focused on the study of the effect of deformed Kerr medium on the time evolution of Mandel parameter. Comparing the upside plots of figures \[mandel\](a) and \[mandel\](b) indicates that the effect of deformed Kerr medium may enhance the negativity of Mandel parameter. Also, from the downside ones, the oscillatory behavior of the Mandel parameter is clearly observed, with increasing the amount of negativity of this quantity. The effect of detuning parameters in the presence of deformed Kerr medium has been shown in figure \[mandel\](c). According to the upside plots of figures \[mandel\](b) and \[mandel\](c), it is apparent that entering the detuning parameters in the presence of deformed Kerr medium reduces the average time intervals of the negativity of Mandel parameter (nonclassicality behaviour). While paying attention to the downside ones shows that due to entering the detuning, Mandel parameter will be always negative although the minima values of this nonclassicality sign is diminished.\
From the numerical results depicted in figure \[mandel\], 