Abstract
A basic mathematical model of new information dissemination in the society is constructed and studied in some of the important cases. The suggested model has been described using the system of four ordinary differential equations with quadratic nonlinearity in the right parts. Two stationary solutions which provide a quite logical interpretation for this system were found. The important area with interesting properties of stationary solutions was separated in the parameters’ space of the system. The global properties of a phase portrait of the constructed dynamic system were investigated by qualitative methods of the differential equations theory. The obtained results allowed to find one of possible scenarios of new information dissemination in the society.
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