A model of information warfare in a society under periodic destabilizing effect

The paper deals with a model of information warfare in a society when one of competitors periodically destabilizes the system with short abrupt increasing of intensity of media propaganda. The model takes the form of two nonlinear ordinary differential equations with periodic discontinuous right-hand side. Asymptotics of periodic solutions is built in the case of low-intensity dissemination of information through interpersonal communication. The transient regime is investigated numerically.