Flow model of intersystem interactions and influence of components of multilayer network systems

The approach to decomposition of multidimensional network systems on monoflow multilayer network systems (MLNS) is proposed, which significantly simplifies the analysis of intersystem interactions in multipurpose and multifunctional supersystem formations. A flow model of monoflow partially overlapped MLNS is built, which reflects the process of intersystem interactions between network systems that ensure the movement of flows of a certain type. The main local and global flow characteristics of MLNS elements are determined, which allow us more adequately from a functional point of view to establish the importance of nodes and edges of a multilayer system compared to their structural characteristics. The constructed model is proposed to be used for the development of methods of protecting complex network and multilayer network systems from targeted attacks and non-targeted lesions of various types and solving other practically important problems of system analysis.