Abstract
This study proposes a model of threshold effects in social processes under conflict conditions. A model based on the diffusion equation of Langevin is developed. A solution of the system of equations for a divergent diffusion type is given. Using the example of two interactingconflicting groups of individuals, we have identified the characteristic patterns of social conflict in the social system in terms of threshold effects and determined the effect the social distance in society has in 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 social conflict change in terms of threshold effects. Using the analysis data of the resulting phase portraits, we have concluded about the existence of a characteristic region of sustainability determined by the transition processes in terms of the threshold effect in the social system, within which it is relatively stable.
Highlights
Social conflict is a classic threshold effect for social systems
We considered a model without introducing a control function and its effect on conflict processes [Petukhov, 2018]
This article proposed an approach to modeling social conflict and describing possible threshold effects
Summary
Social conflict is a classic threshold effect for social systems. A social conflict can be defined as a peak stage in the development of contradictions in relations between individuals, groups of individuals, or a society as a whole, characterized by the presence of contradicting interests, objectives and viewpoints of the interacting subjects. The models available to date can be divided into three groups: 1) models - concepts based on the identification and analysis of common historical patterns and their representation in the form of cognitive schemes that describe the logical connections between various factors that affect historical processes [Malkov, 2009] Such models generalize the subject matter to a high degree, but they are not of a mathematical, but of purely logical, conceptual nature; 2) special mathematical models of imitative type, created for the description of specific historical events and phenomena [Malkov, 2009]. This control can play a decisive role in its generation and dynamics
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