Modeling of threshold effects in social systems based on nonlinear dynamics

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.