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  4. Stability under stochastic perturbation of solutions of mathematical models of information spreading process with external control

Stability under stochastic perturbation of solutions of mathematical models of information spreading process with external control

MMC.
2018;
Volume 5, Number 1
: pp. 66-73
https://doi.org/10.23939/mmc2018.01.066
Received: May 07, 2018

Math. Model. Comput. Vol. 5, No. 1, pp. 66-73 (2018)

Authors:
  1. O. Nakonechnyi
  2. I. Shevchuk
1
Taras Shevchenko National University of Kyiv
2
Taras Shevchenko National University of Kyiv

In this paper mathematical model of spreading any number of information types with external influences is considered.  The model takes the form of n (number of information channels) non-linear Ito stochastic differential equations.  Conditions for asymptotic  stability in quadratic average in first-approximation of the special points are considered for general stationary model and special case with non-stationary parameters.  The results of example are presented for the special case of the base model with stationary parameters.

mathematical model of information spreading process
stochastic stability
asymptotic stability in quadratic average
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