Mathematical Model of People Cooperation in Social Groups in the Context of Election Technologies

The article proposes a new mathematical models of people cooperation in context of election technologies. We consider specific task related to communication between people and formation of the common opinion. This class of models allows to take into account the specific mechanisms for transmitting messages, in which each vertices are individuals who, receiving a message, initially form their attitude towards it, and then decide on the further transmission of this message, provided that the corresponding potential of the interaction of two individuals exceeds a certain threshold level. The authors developed the original algorithm for calculating the time moments of message distribution in the corresponding chain, which comes to the solution of a series of Cauchy problems for systems of ordinary nonlinear differential equations.