We focus on weakening a dangerous community. The paper investigates a problem of an external and soft control of a community. At first, we checked an assumption about the connection between the features of the vertices and the presence of an edge between the vertices was checked. Then, two models were proposed to model a dynamics - a modification of Barabaci-Albert model and a new reconnection model based on the general classical ideas, as in the Watts-Strogatz model. Within the framework of such models, the control problem was naturally reduced to the separation problem. Furthermore, we proposed greedy and stochasti algorithms to solve it. The algorithms were applied to real and synthetic data and we shown their strengths and weaknesses.

The paper presents a conceptual mathematical model of lymphopoiesis that describes the dynamics of the T cell and B cell immune response after the single introduction of the vaccine. Results indicate that effective immune response requires different vaccine dosages for different age groups.

The current state and prospects for the development of transport infrastructure of the EAEU member states as the most important systemic participant in the international New Silk Road project are considered. An assessment of the development of terminal infrastructure is presented. An analysis of the level of its safety in light of the implementation of the EAEU Rail Transport Development Strategy has been carried out, risks have been identified and effective management decisions and priority measures aimed at preventing them from being implemented have been identified

The author developed an approach that defines the methodological basis for creating advanced information systems. The systems are made for decision-making support during investigation of accidents’ causes in large-scale systems. It bases on mathematical models of events’ filters. The article includes examples of the approach’s application for aviation systems.

The paper is devoted to the issues of data mining and building on their basis predictive models for systems of diagnostics and monitoring of the technological process of facilities of critical information infrastructure. The paper considers a method to information analysis for the construction of instant models of forecasting parameters of technological process with consideration, detailing coefficients of multiple-scale wavelet transformation. An example of the use of the proposed approach for prediction and assessment of the risk potential of the temperature of the feed water behind the high-pressure heater in the power unit of the NPP is presented.