Mathematical modeling of information confrontation


The article continues our studies in the previously constructed mathematical model of dissemination of new information in the society. The model is a system of four ordinary differential equations with quadratic nonlinearity in the right parts. Two fundamental domains have been taken in the parameter space of the model and they may be of interest in application. In some sense, these domains provide two diametrically opposite and essentially different scenarios of new information dissemination. In every case, the global properties of the phase pattern of the constructed dynamic system were investigated using qualitative methods of the theory of differential equations. Both conceptual and geometric interpretations of the obtained results were given.