The monograph examines the prerequisites and scientific foundations for creation of the Strategy for Artificial Intelligence Development in Ukraine as well as means and ways of its effective implementation. For specialists, postgraduate, and graduate students in the field of artificial intelligence, information technologies, philosophy, state formation, and economics

The infectious disease mathematical model is generalized based on the influence of diffuse perturbations on the development of the disease under conditions of the body's temperature reaction. The singularly perturbed model problem was reduced with delay to a sequence of problems without delay, for which the corresponding asymptotic expansions of solutions are obtained. The presented results of computer modeling in various situational states illustrate the expected decrease in the growth rate of the number of viral particles as a result of the action of the body's protective temperature reaction. The results of numerical experiments demonstrate the influence of the diffuse effect of "scattering" of forcing factors on the dynamics of a viral disease under conditions of the body's temperature reaction are presented too. It is noted that the decrease of the model amount of antigens in the epicenter of infection to a non-critical level caused by diffuse "scattering" over a relatively short time period makes them further destroyed by immune agents presented in the body, or requires the introduction of an injection solution with a smaller amount of donor antibodies.

The concept of knowledge potential of agents which serves as a characteristic of a certain amount of knowledge of any individual accumulated over a certain period of life is presented in the paper. The original model approach to information processes of knowledge potential dissemination based on physical analogies, namely the phenomenon of diffusion, is proposed. The redistribution process of two-component knowledge potential is described and the results of numerical experiments are given. The diffusion-like models of knowledge potential distribution in the social and communicative educational environment of the city are built. In particular, the attention is focused on the description (modeling) of knowledge potential redistribution processes within a given social and communicative community (clique), with well-established external and internal relationship between the members (agents) of educational and training processes. Solutions to the modeling problem of interaction (interference) between the knowledge potential components of different agents within a given clique are proposed, a multi-vector of knowledge potential is considered and the results of numerical experiments are given.

The situation when groundwater considerably rises above the “normal” level, water intake, lowering of groundwater levels and other relevant practical tasks require the drainage facilities. The most effective techniques of numerical studies of the corresponding boundary problems at present time are methods of dealing with inverse boundary value problems (conformal and quasi-conformal mappings). As basis of this research we used the case of combining the fictitious domain methods with quasi-conformal mappings of the solution of nonlinear boundary value problems for the calculation of filtration regimes in environments with free boundary areas (depression curves) and zones of “mountainous” areas.This paper reviews the stationary issue of flat-vertical stationary non-pressure liquid filtration to horizontal symmetric drainage. In the paper a practical methodology for solving boundary value problems on conformal mappings is suggested for the calculation of the filtration process in the horizontal symmetrical drainage.The idea of block iterative methods was used during the creation of the corresponding algorithm which is based on the alternating “freeze” of the anticipated conformance parameter, the internal and boundary connections of the curvilinear area.The results of the conducted numerical calculations confirmed the effectiveness of the suggested problem formulations and algorithms of their numerical solution and the possibility of their use in the modelling of nonlinear filtration processes occurring in horizontal drainage systems, as well as in the design of drainage facilities and optimizing other hydrosystems. Therefore these results are of great importance.