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Authors: Alexandr Y. Petukhov ; Alexey O. Malhanov ; Vladimir M. Sandalov and Yury V. Petukhov

Affiliation: Nizhniy Novgorod Lobachevski State University, Russian Federation

Keyword(s): Ethno-social Conflict, Society, Diffusion Equations, Langevin Equation, Communication Field.

Abstract: The issue of modeling various kinds of social conflicts (including ethno-social) using diffusion equations is discussed. The main approaches to and methods of mathematical modeling in contemporary humanitarian sciences. The main concepts of social conflicts, ways of their classification, interpretation, including ethnic-social, religious and other conflicts are considered. The notion of a conflict in a social system is defined in terms of mathematical modeling. A model based on Langevin diffusion equation is introduced. The model is based on the idea that all individuals in a society interact by means of a communication field - h. This field is induced by each individual in the society, modeling informational interaction between individuals. An analytical solution of the system of thus obtained equations in the first approximation for a diverging type of diffusion is given. It is shown that even analyzing a simple example of the interaction of two groups of individuals the developed model makes it possible to discover characteristic laws of a conflict in a social system, to determine the effect of social distance in a society on the conditions of generation of such processes, accounting for external effects or a random factor. Based on the analysis of the phase portraits obtained by modeling, it is concluded that there exists a stability region within which the social system is stable and non-conflictive. (More)

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Paper citation in several formats:
Petukhov, A.; Malhanov, A.; Sandalov, V. and Petukhov, Y. (2017). Mathematical Modeling of the Ethno-social Conflicts by Non-linear Dynamics. In Proceedings of the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH; ISBN 978-989-758-265-3; ISSN 2184-2841, SciTePress, pages 180-187. DOI: 10.5220/0006393501800187

@conference{simultech17,
author={Alexandr Y. Petukhov. and Alexey O. Malhanov. and Vladimir M. Sandalov. and Yury V. Petukhov.},
title={Mathematical Modeling of the Ethno-social Conflicts by Non-linear Dynamics},
booktitle={Proceedings of the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH},
year={2017},
pages={180-187},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0006393501800187},
isbn={978-989-758-265-3},
issn={2184-2841},
}

TY - CONF

JO - Proceedings of the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - SIMULTECH
TI - Mathematical Modeling of the Ethno-social Conflicts by Non-linear Dynamics
SN - 978-989-758-265-3
IS - 2184-2841
AU - Petukhov, A.
AU - Malhanov, A.
AU - Sandalov, V.
AU - Petukhov, Y.
PY - 2017
SP - 180
EP - 187
DO - 10.5220/0006393501800187
PB - SciTePress

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