Математична модель нейропсихологічного впливу на визначену цільову аудиторію в межах проведення психологічної операції

Formulation of the problem in general. In the conditions of large-scale armed aggression of the russian federation against Ukraine, an urgent task is to predict behavioural changes in the process of psychological influence on defined target audiences during psychological operations. The main goal of the article is to develop a mathematical model of neuropsychological influence, which integrates cognitive, emotional and behavioural reactions of the target audience in response to psychological influence during psychological operations. Research methods. During the research, for objectivity, a complex approach was applied based on such methods as mathematical modelling, analysis of the dynamics of neuropsychological processes, empirical observation and integration of modern technologies. Analysis of recent researches and publications. Existing mathematical models do not take into account neuropsychological mechanisms, resistance to emotional influence and the dynamics of changes in neural connections under psychological influence. Elements of scientific novelty. The article describes a mathematical apparatus for modelling neuropsychological processes that reflect the reaction of the human brain to informational and psychological influences, which is based on differential equations. The developed multidimensional model formalized the dynamics of emotional activation, cognitive processing of information, plasticity of neural connections and general behavioural changes in the object of influence. Theoretical and practical significance of the article. The given mathematical equations formalize the process of psychological influence, taking into account the resistance of the target audience to influence, the effect of forgetting (the Ebbinghaus effect) and the adaptive mechanisms of the human brain. The developed model provides an opportunity to predict changes in the behaviour of the target audience during psychological operations, and can be used in the process of managing psychological influence. Conclusion and the perspectives of future researches. The importance of integrating modern technologies such as artificial intelligence, virtual reality and augmented reality for the further development of such models is also indicated, which will provide an opportunity to ensure their adaptability and increase the effectiveness of practical application in the conditions of modern information confrontation.