Аннотация:A propaganda battle model is considered that has the form of a system of integral-differential equations. The population in this model consists of two groups of individuals, one of which cannot receive propaganda through the media. These opposing groups (one of which has propaganda superiority) can choose one of three strategies for information confrontation: decreasing intensity (in which the media broadcasting intensity decreases over time), increasing intensity, and flat intensity (the media broadcasting intensity remains constant throughout the confrontation). The effectiveness of each strategy is studied for different model parameters, numerical calculations are carried out, and meaningful conclusions are made regarding the optimal strategy for each group in each case.