Geodesic
Modeling simultaneous distribution of legal and counterfeit copies of innovative goods
Matematičeskoe modelirovanie, Tome 25 (2013) no. 6, pp. 54-63

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The basic mathematical model for the dynamics of number of legal and counterfeit customers of computer games and other innovative products is presented. The model is based on the information propagation and information warfare models. The analysis is conducted using the theory of ordinary differential equations. It is shown that results are in qualitative agreement with empirical data by StarForce.
Keywords: mathematical modeling, information warfare, dissemination of innovative goods, ordinary differential equations. 
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     author = {A. P. Mikhailov and A. P. Petrov and M. I. Kalinichenko and S. V. Polyakov},
     title = {Modeling simultaneous distribution of legal and counterfeit copies of innovative goods},
     journal = {Matemati\v{c}eskoe modelirovanie},
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     publisher = {mathdoc},
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     year = {2013},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2013_25_6_a4/}
}
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A. P. Mikhailov; A. P. Petrov; M. I. Kalinichenko; S. V. Polyakov. Modeling simultaneous distribution of legal and counterfeit copies of innovative goods. Matematičeskoe modelirovanie, Tome 25 (2013) no. 6, pp. 54-63. http://geodesic.mathdoc.fr/item/MM_2013_25_6_a4/