Mathematical modeling of information warfare in a society

Abstract

Mathematical models of information attack and information warfare in a society are considered. The models take into account the information dissemination through interpersonal communications and medi propaganda, as well as the heterogeneity of a society. The process of confrontation is represented as follows. There are two opposing information sources in a society, so each individual can become an spreader of information of either one or the other information source, depending on whose information she receives first. The models also take into account the following factors of information dissemination: incomplete media coverage, two-step perception of information, forgetting of information by individuals. The model has the form of the Cauchy problem for nonlinear system of ordinary differential equations. This model is studied analytically and numerically. The meaningful interpretation is given for the results obtained.