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Dynamic model of proximity of positions of social network users

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Mathematical Models and Computer Simulations Aims and scope

Abstract

A mathematical model is proposed 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 are formulated. It is shown that in the case of two individuals the system has an asymptotically stable zero steady state. In the case of two individuals and two themes we get an infinite number of stationary states, all except the zero state being unstable.

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Authors and Affiliations

  1. Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia

    E. D. Kornilina & A. P. Petrov

Authors
  1. E. D. Kornilina
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  2. A. P. Petrov
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Correspondence to E. D. Kornilina.

Additional information

Original Russian Text © E.D. Kornilina, A.P. Petrov, 2012, published in Matematicheskoe Modelirovanie, 2012, Vol. 24, No. 10, pp. 89–97.

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Kornilina, E.D., Petrov, A.P. Dynamic model of proximity of positions of social network users. Math Models Comput Simul 5, 213–219 (2013). https://doi.org/10.1134/S207004821303006X

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  • DOI: https://doi.org/10.1134/S207004821303006X

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