Mathematical Model for Hit Phenomena

Akira Ishii; Hisashi Arakaki; Naoya Matsuda; Narihiko Yoshida; Sanae Umemura; Takefumi Hayashi; Takeshi Nakagawa

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Mathematical Model for Hit Phenomena

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arxiv 1002.4460 v2 pith:IJM2X4V2 submitted 2010-02-24 physics.soc-ph

Akira Ishii , Sanae Umemura , Takefumi Hayashi , Naoya Matsuda , Takeshi Nakagawa , Hisashi Arakaki , Narihiko Yoshida This is my paper · ORCID

classification physics.soc-ph

keywords modelmathematicalphenomenaexpressednonlinearagreecalculatedcommunications

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The mathematical model for hit phenomena in entertainments is presented as a nonlinear, dynamical and non-equilibrium phenomena. The purchase intention for each person is introduced and direct and indirect communications are expressed as two-body and three-body interaction in our model. The mathematical model is expressed as coupled nonlinear differential equations. The important factor in the model is the decay time of rumor for the hit. The calculated results agree very well with revenues of recent 25 movies.

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