Modeling Conflict in a Social System Using Diffusion Equations

Petukhov, Alexandr Y.; Malhanov, Alexey O.; Sandalov, Vladimir M.; Petukhov, Yury V.

doi:10.18500/0869-6632-2016-24-6-65-83

Cited by 6 publications

(13 citation statements)

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“…This parameter is social distance. Previous works 35 discuss this matter in more detail; therefore, here we will only provide the following provisions critical for understanding of this model.…”

Section: Parametrization Of Ethno-social Conflictmentioning

confidence: 99%

“…Here we can trace the analogy with the Brownian particle, that is, a particle that seemingly moves along a rather defined trajectory, but under close examination, this trajectory turns out to be strongly tortuous, with many small knees. 32–36 These small changes (fluctuations) are explained by the chaotic motion of other molecules. In social processes, fluctuations can be interpreted as manifestations of the free will of its individual participants, as well as other random manifestations of the external environment.…”

Section: Fundamentals Of the Modelmentioning

confidence: 99%

“…The communicative field, as in Petukhov et al, 35 is represented by a diffusion equation with a divergent type of diffusion:…”

Section: Mathematical Representation Ofthe Systemmentioning

confidence: 99%

“…Here, as in Petukhov et al, 35 in order to obtain approximate analytic solutions of the system (3), we use the series expansion that is accurate to first-order quantities of smallness for the Δ x = x i − x oi Δ t = t − t o difference:…”

Section: An Approximate Solution Of the Systemmentioning

confidence: 99%

See 3 more Smart Citations

Mathematical modeling of ethno-social conflicts with the introduction of the control function

Petukhov¹,

Malhanov²,

Sandalov³

et al. 2019

SIMULATION

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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.

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Section: Parametrization Of Ethno-social Conflictmentioning

confidence: 99%

Section: Fundamentals Of the Modelmentioning

confidence: 99%

“…The communicative field, as in Petukhov et al, 35 is represented by a diffusion equation with a divergent type of diffusion:…”

Section: Mathematical Representation Ofthe Systemmentioning

confidence: 99%

Section: An Approximate Solution Of the Systemmentioning

confidence: 99%

See 2 more Smart Citations

Mathematical modeling of ethno-social conflicts with the introduction of the control function

Petukhov¹,

Malhanov²,

Sandalov³

et al. 2019

SIMULATION

View full text Add to dashboard Cite

show abstract

“…The systems of customer activation, increasing the information content of the client base, for example, a travel company [1] or a bank [2], have been actively used. The problems of ethnic relations, from the point of view of systemic relations and processes, in particular interethnic, are investigated [3]. The specific processes taking place in social networks, where new aspects of feedback, regulators, effects are possible, add their effect.…”

Section: Iintroductionmentioning

confidence: 99%

Increasing the information content of social network groups and clients using Social Mining

Kaziev¹,

Kazieva²,

Khizbullin³

et al. 2019

Proceedings of the International Conference on Man-Power-Law-Governance: Interdisciplinary Approaches (MPLG-IA 2019)

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Connections, contacts, and commerce on social networks are expanding dynamically and have become attractive to many visitors who enjoy, for example, predicting events in a group, finding a person, finding out necessary information about him. Intelligent systems for activating the client, the client base, increasing information content from them began to be actively studied, taking into account the processes occurring in social networks. New forms of feedback, mechanisms (regulators) are activated; their new systemic and synergistic effects are being investigated. The problems of the traditional and the tasks of modern (media network) sociology, social network technology, the methodology of research on society are investigated in the work on the basis of the principles of system dynamics. Hierarchical client structures in which the client, the cluster has its own weight, rank, are considered. The important task of identifying the rank and client, for example, the initiator (coordinator) of network processes, is investigated. A graph model of such hierarchical structures, taking into account hierarchical subordination, and the measures of connectivity necessary in assessing the evolutionary potential of social network groups, is proposed. The procedure for assessing the potential of a network (group) is given. The results are the application of Social Mining in practice.

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Modeling the dynamical ethnic processes in multinational society

Tursyngaliyeva

Sagindykov

Konyrkhanova

et al. 2021

JM2

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Purpose The problem of ethnic conflicts and unrest is at the forefront in a diverse world today. This paper aims to identify ways of resolving social conflicts and establishing a balanced way of taking into account the diverse interests of a multinational society. Design/methodology/approach Modeling of dynamical ethnic processes in the Republic of Kazakhstan was based on the Parson's sociological scheme and the Nash equilibrium theory. The model consists of differential equations describing the development of four ethnic subsystems: political system, economic system, societal community and Institute of the Assembly of the People of Kazakhstan. This model allows investigating how the interests of various ethnic groups change over time and identifying the states of equilibrium in which the interests of all groups are satisfied. Findings The results of computer simulation showed that one of the solutions to the problem of social stability is establishing social equilibrium. For this, the Institute of the Assembly of the People of Kazakhstan (APK Institute) must take changes that occur within ethnic groups into account. The proposed model can reveal states of equilibrium with respect to positive and negative dynamic processes that exist between different ethnic groups. Originality/value The proposed model can be used to predict changes in social behavior and find balance between ethnic subsystems in the research on ethnic processes in multinational countries to early detect conflicts of interest and crisis situations. Future studies will benefit from expanding the range of subsystems that can affect alterations in the ethnic community.

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Modeling Conflict in a Social System Using Diffusion Equations

Cited by 6 publications

References 0 publications

Mathematical modeling of ethno-social conflicts with the introduction of the control function

Mathematical modeling of ethno-social conflicts with the introduction of the control function

Increasing the information content of social network groups and clients using Social Mining

Modeling the dynamical ethnic processes in multinational society

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