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Zh. Vychisl. Mat. Mat. Fiz., 2020, Volume 60, Number 10, Pages 1795–1804 (Mi zvmmf11152)  

Computer science

Stationary states in a model of position selection by individuals

A. P. Petrova, O. G. Pronchevab

a Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
b Moscow Institute of Physics and Technology, Dolgoprudnyi, Moscow oblast, 141701 Russia

Abstract: A model of position selection by individuals in the propaganda battle of two parties is considered. The position selection is based on a neurological decision-making model the input of which is the information stimuli arriving to the individual from the opposing parties and which produces as its output the support of one of these parties. In this version of the model, assortativity and the incomplete coverage of the population by mass media are also taken into account. The number and stability of equilibriums are investigated and a meaningful interpretation is proposed.

Key words: ordinary differential equations, stability, neurological decision-making model, propaganda battle, echo chamber.

DOI: https://doi.org/10.31857/S0044466920100129


English version:
Computational Mathematics and Mathematical Physics, 2020, 60:10, 1737–1746

Bibliographic databases:

UDC: 519.87
Received: 07.05.2020
Revised: 07.05.2020
Accepted:09.06.2020

Citation: A. P. Petrov, O. G. Proncheva, “Stationary states in a model of position selection by individuals”, Zh. Vychisl. Mat. Mat. Fiz., 60:10 (2020), 1795–1804; Comput. Math. Math. Phys., 60:10 (2020), 1737–1746

Citation in format AMSBIB
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\paper Stationary states in a model of position selection by individuals
\jour Zh. Vychisl. Mat. Mat. Fiz.
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\vol 60
\issue 10
\pages 1795--1804
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\crossref{https://doi.org/10.31857/S0044466920100129}
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\jour Comput. Math. Math. Phys.
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\vol 60
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\pages 1737--1746
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