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Mathematical model for hit phenomena in entertainments in the society ispresented as stochastic process of interactions of human dynamics. The modeluse only the time distribution of advertisement budget as input and the wordsof mouth (WOM) as posting in the social network system is used as the data tocompare with the calculated results. The unit of time is daily. The WOMdistribution in time is found to be very close to the residue distribution intime. The calculations for Japanese motion picture market due to themathematical model agree very well with the actual residue distribution intime.

Mathematical model for hit phenomena as stochastic process of interactions of human interactions