In the article, a basic mathematical model of new information dissemination in the society is constructed and studied. The suggested model has been described using the system of four ordinary differential equations with square nonlinearity in the right parts. Two stationary solutions furnishing quite logical interpretation for this system were found. Two areas with various properties of stationary solutions were separated in the parameters’ space of the system. The global properties of a phase pattern of the constructed dynamic system were investigated by qualitative methods of the differential equations theory. The obtained results allowed finding several possible scenarios of new information dissemination in the society.