Abstract
The article presents strategic methods of mathematical modeling of conflicts that are frequently repeated in modern society. Although game theory was initially used in economic and mathematical sciences, as a result of recent research, it has been proven that it can be successfully used in social sciences as well. It is known that the problem of preventing and avoiding any conflict is becoming one of the most relevant topics every year. However, while social sciences show us that conflicts can only be observed, using mathematical methods we can manage and predict conflicts. The scientific article also contains information about the researchers who worked in the mentioned topic. There are also scientific examples of how conflict can be represented and studied in game theory. It is known that the application of game theory in conjunction with the diffusion equation quickly brings us closer to the truth. It is known that the application of the theory of games together with the diffusion equation quickly approaches the truth. In the modern era, we can see that conflicts have developed in an evolutionary way. We can also make sure that the tools of social research that were used to monitor conflicts in the 20th century will not work well in the new millennium. It seems that the first priority for the science of conflictology is to increase the practical fund as much as possible. For the development of the domestic science of conflictology, a large base fund of works and research by European and world scientists is needed. When there is a need to form competent conflict experts, we understand the need for specialists who can use the methods of natural sciences such as game theory, mathematical modeling, and diffusion equations in social sciences. After all, without the aforementioned mathematical methods for predicting and modeling future conflicts, it is undoubtedly difficult to achieve that goal.