Економіко-математичне моделювання взаємного впливу економічного добробуту країни та витрат на охорону здоров’я

This article investigates the relationship between a country's level of economic well-being and its healthcare expenditure using economic and mathematical modeling tools. The relevance of the topic stems from the increasing importance of human capital in transitional economies, demographic challenges, and the growing financial burden on healthcare systems due to post-crisis and pandemic factors. A composite well-being index (WI-5) is developed, integrating five key indicators: GDP per capita, public expenditure on education, life expectancy at birth, unemployment rate (inverted), and the Corruption Perceptions Index. The methodological approach is based on min-max normalization followed by weighted aggregation. Two regression models are constructed to assess both direct and reverse effects between well-being and healthcare spending. The analysis covers the period from 2020 to 2024. In cases of incomplete data, linear extrapolation was applied based on prior trends. The empirical focus includes Ukraine and three European Union countries: Germany, France, and Italy. The findings confirm the presence of a statistically significant bidirectional relationship, suggesting the cyclical nature of interactions between economic and social factors. Increased investment in healthcare positively contributes to economic well-being by improving population health and labor productivity. Conversely, higher levels of well-being expand fiscal capacity for sustained investment in the social sector. The results offer practical implications for designing evidence-based public policy in healthcare financing and long-term socio-economic planning.