A Mathematical Model of Information Confrontation: Discrete Adaptive Control of the System

Abstract

The article presents the first results of controlling the mathematical model of information confrontation proposed by the authors in earlier works. This model made it possible to better understand the process of spreading new information in society through the media and made it possible to link the main factors identified to describe this action into a system. The model is a system of ordinary differential equations with quadratic nonlinearity on the right side. A component is installed in the parameter space, by controlling which it is possible to obtain ratios that determine the predictable behavior of the trajectory of the system from any starting point corresponding to the meaningful meaning. The algorithm proposed in the article for constructing discrete adaptive control makes it possible to bring the information confrontation to a scenario beneficial to one of the parties. The theoretical results obtained were confirmed in numerical experiments on the model, which were carried out using the solve_ivp module of the SciPy library of the Python programming language.