FIG. 3: The daily data of revenue and the blog-writing entry number for Transformer in Japanese market. The blog data are normalized to adjust the peak of the revenue at the release day. MATHEMATICAL MODEL Purchase intention for individual person Based on the observation of the movie hit phenomena in Japanes market, we present a mathematical model to explain and predict hit phenomena. First, instead of the number of audience N ( t ), we introduce here the integrated purchase intention of individual customer, J$_{i}$ ( t ) defined as follows, here the suffix j corresponds to individual person who has attention to the movie. Sub- stitute (4) into (1), we obtain, N ( t ) = ∑ i J$_{i}$ ( t ) (4) d dt ( ∑ i J$_{i}$ ( t )) = a ( N$_{0}$ − ∑ i J$_{i}$ ( t )) = a ∑ i (1 − J$_{i}$ ( t )) (5) 5