Geodesic
Dynamic model of social network users’ positions proximity
Matematičeskoe modelirovanie, Tome 24 (2012) no. 10, pp. 89-97

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A mathematical model is suggested for the proximity dynamics of political positions of interacting individuals, which form a closed group. The model is described as a system of ordinary differential equations. The results of numerical experiments for the system are presented and a number of substantial conclusions is formulated. It is shown that in case of two individuals the system has an asymptotically stable zero steady state. In case of two individuals and two themes we get an infinite number of stationary states, all except zero one being unstable.
Keywords: relationship dynamics in group, political positions, ordinary differential equations. 
@article{MM_2012_24_10_a7,
     author = {E. D. Kornilina and A. P. Petrov},
     title = {Dynamic model of social network users{\textquoteright} positions proximity},
     journal = {Matemati\v{c}eskoe modelirovanie},
     pages = {89--97},
     publisher = {mathdoc},
     volume = {24},
     number = {10},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MM_2012_24_10_a7/}
}
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E. D. Kornilina; A. P. Petrov. Dynamic model of social network users’ positions proximity. Matematičeskoe modelirovanie, Tome 24 (2012) no. 10, pp. 89-97. http://geodesic.mathdoc.fr/item/MM_2012_24_10_a7/