Modeling of making choices by individuals during information warfare in society

The paper deals with the construction and primary analysis of a mathematical model of information warfare in society, putting into focus the process of making choices by an individual who is choosing between the offered two points. The model is based on the traditional model of imitative behavior. The constructed model has the form of a nonlinear integro-differential equation in which the unknown function is under the sign of the derivative and in the limit of integration, and also acts as an argument from some exogenously given function.