Mathematical and computer modelling of multidimensional processes of information warfare using approximation schemes and random perturbations

The dissertation is devoted to the construction and analysis of a multidimensional mathematical and computer model of information warfare with regard to random factors.
Compared to the considered models of information warfare, the proposed mathematical engine is more accurate, since it allows taking into account the variability of the environment and making calculations for n types of information threats.
Particular emphasis is placed on the importance of a deep understanding of the mechanisms of information dissemination and the development of appropriate measures to ensure information security. The increasing influence and spread of malicious information makes it important to study the mechanisms of information warfare and conflicts in modern society. Modelling is a practical approach to analysing these processes.
The study covers the analysis of information warfare in the context of competition between different types of information in society. In addition, the paper considers a conflict model that represents a system where different participants compete for control over a common area of interest.
The developed system consists of backend and frontend modules, which allows the use of computation separately from display, potentially making the system suitable for use by third party applications. The chosen technology stack: Python 3.11, ReactJS 18, leaves open the possibility of using numerous ready made solutions for calculations in the further development of the system. Despite this, all the basic functionality responsible for the mathematical engine currently available was developed without the use of off--the--shelf libraries, which allowed us to customise each stage of the calculations as closely as possible to our needs. Also, any intermediate results can be collected to verify the correctness of the calculations.
The developed software allows not only to perform calculations for different types of information threats, but also to dynamically change input parameters both for the environment as a whole and for each specific type of information separately. The applied model makes it possible to track the spread of information in real time and analyse the reaction to changes in the environment parameters. This, in turn, contributes to an effective response to potential threats.
Based on the statistical data, information warfare scenarios were modelled. The system took into account various factors, such as the popularity of social networks, random environmental influences of varying strength.
Based on testing and analysis of the results, it can be concluded that the system is effective in the context of information warfare modelling. Recommendations may include further improvement of the modelling parameters, optimisation of algorithms, and extension of the system's functionality for a wider range of use cases.
The dissertation ends with conclusions (summarizing the main scientific and practical results presented in the study) and an assessment of the importance of knowledge based systems in the field of mathematical and computer modelling.

Красюк Б. В. Математичне та комп’ютерне моделювання багатовимірних процесів інформаційної боротьби з використанням схем апроксимації та випадкових збурень : дис. … д-ра філософії : 113 Прикладна математика / наук. кер. О. А. Капустян. Київ, 2024. 134 с.