Abstract: The subject of the study is the modeling and forecasting of terrorist and extremist activity of RSO-A. This task is urgent, since terrorist activity around the world has remained very high in recent years and even a rough forecast allows us to take preventive measures in case of a possible aggravation of the situation.
Usually, an analysis of the mechanisms of radicalization and the formation of extremist groups is used for forecasting. At the same time, the methods of game theory and machine learning and models of the spread of epidemic diseases are used. In all cases, the verification of models requires a large amount of initial information, which, as a rule, is missing. In addition, these models are applicable only for regions with a sufficiently high level of extremist and terrorist activity.The paper proposes a method for predicting terrorist and extremist activity for regions where its level is low. The method is based on the assumption that people who are not satisfied with their social status and do not see prospects for its improvement are involved in various radical groups and/or are inclined to extremism and terrorism. Since it is much easier to get into a radical group whose activities are not prohibited by law, the increase in the intensity of involvement in them outstrips the growth of extremist and terrorist activity and is its harbinger.
The method is tested on the example of the Republic of North Ossetia-Alania, in which adherents of radical Islam are a typical radical group. It is shown that for RSO-A, terrorist activity in the region can be predicted by the intensity of involvement in radical groups with a lag of two years. The proposed model allows us to satisfactorily assess the change in terrorist activity in the Republic of North Ossetia-Alania for the period 2015-2019.

Abstract: Dynamics of the strike movement in Russia in the late 19th – early 20th centuries is analyzed. Multiple statistical data on workers’ fighting for their rights in this period provides for effective use of mathematical modeling to better understand the causes for workers’ protest activity increase that was especially high in 1903. In particular, one can evaluate the role of activists in the strike movement development as well as the influence of repressions on activists’ popularity. The mathematical model by Andreev A.Y. and Borodkin L.I. has been modified to describe the interaction of authorities, activists and workers. The use of the modified model to describe the strike movement dynamics is given as an example. To test the model’s adequacy the calculation data were compared with corresponding statistical indicators. The results demonstrate that the model is rather good at describing the changing strike activity in Russia in the late 19th – early 20th centuries. When the influence of activists is generally low (1895-1899), it accounts for 10-20% of the strike movement. When it reaches the critical point, the role of activists in the strike movement growth increases sharply and becomes dominating in 1902 when this point is overcome. The model is also correct at describing the general trend of decreasing repressions by the authorities and the growth of activists’ influence.