The formation of artificial communities within the framework of various types of mathematical and computer modeling, primarily agent-based, requires confident knowledge about the degree and nature of the interaction of the simulated agents, components and elements of the system being studied. The work reveals patterns of influence of scientific and innovation indicators on the level of the economy in countries around the world. Based on measuring the level of correlations between the publication activity of the countries of the world, the per capita level of R&D expenditures, patent activity and the number of researchers with the level of their economy relative to the population, it is shown that the indicators of the conjugation of the scientific and innovation sphere of countries and their level are quite high, in general intensified from 2010 to 2022. Since 2010, the ratio of the levels of mutual dependence of indicators of scientific and inventive activity and the relative values of national economies has changed; among other indicators, the highest level of correlation in 2022 is characterized by publication activity. The level of interconnection has largely increased due to the sharp intensification of the level of scientific development of rich oil and gas producing countries. Considering Russia’s place in global trends in scientific development, the author concludes that it is advisable to increase funding for scientific research in Russia while maintaining the course of supporting the productivity of fundamental science.