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Mathematical Modeling of the Ethno-social Conflicts by Non-linear DynamicsTopics: Biological and Social Systems Simulation; Crisis and Conflict Management Simulation

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)

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.

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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 - Volume 1: SIMULTECH, ISBN 978-989-758-265-3, ISSN 2184-2841, 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 - Volume 1: SIMULTECH,}, year={2017}, pages={180-187}, publisher={SciTePress}, organization={INSTICC}, doi={10.5220/0006393501800187}, isbn={978-989-758-265-3}, }

TY - CONF

JO - Proceedings of the 7th International Conference on Simulation and Modeling Methodologies, Technologies and Applications - Volume 1: SIMULTECH, TI - Mathematical Modeling of the Ethno-social Conflicts by Non-linear Dynamics SN - 978-989-758-265-3 AU - Petukhov, A. AU - Malhanov, A. AU - Sandalov, V. AU - Petukhov, Y. PY - 2017 SP - 180 EP - 187 DO - 10.5220/0006393501800187