Mathematical modeling of ethno-social conflicts with the introduction of the control function
| Autor: | Yury V. Petukhov, Alexandr Y. Petukhov, Vladimir M. Sandalov, Alexey O. Malhanov |
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| Rok vydání: | 2019 |
| Předmět: |
0209 industrial biotechnology
Computer science 02 engineering and technology 01 natural sciences Computer Graphics and Computer-Aided Design Control function 010305 fluids & plasmas Langevin equation 020901 industrial engineering & automation Modeling and Simulation 0103 physical sciences Applied mathematics Social conflict Diffusion (business) Control (linguistics) Software |
| Zdroj: | SIMULATION. 96:337-346 |
| ISSN: | 1741-3133 0037-5497 |
| DOI: | 10.1177/0037549719884629 |
| Popis: | In this article, we propose a model of ethno-social conflict based on diffusion equations with the introduction of the control function for such a conflict. Based on the classical concepts of ethno-social conflicts, we propose a characteristic parameter – social distance – that determines the state of society from the point of view of the theory of conflict. A model based on the diffusion equation of Langevin is developed. The model is based on the idea that individuals interact in society through a communicative field – h. This field is induced by every person in a society and serves as a model of the information interaction between individuals. In addition, the control is introduced into the system through the dissipation function. A solution of the system of equations for a divergent diffusion type is given. Using the example of two interacting–conflicting ethnic groups of individuals, we have identified the characteristic patterns of ethno-social conflict in the social system and determined the effect social distance in society has in the development of similar processes with regard to the external influence, dissipation, and random factors. We have demonstrated how the phase portrait of the system qualitatively changes as the parameters of the control function of the ethno-social conflict change. Using the analysis data of the resulting phase portraits, we have concluded that it is possible to control a characteristic area of sustainability for a social system, within which it remains stable and does not become subject to ethno-social conflicts. |
| Databáze: | OpenAIRE |
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