Economic and mathematical modelling of food security in Ukraine

The economic and mathematical model of food security in Ukraine was made in the form of regressive dependence of the integral index of food security on the singled out factors: provision, independence, physical accessibility, quality and safety. For this, a set of indicators of food security was replaced by fewer numbers of the most significant uncorrelated components (factors). A component analysis was taken as a scientific and methodological basis of this replacement. The results obtained from the verification of the model indicate its adequacy to statistical data, the significance of the model as a whole and its parameters, the close direct linear relationship between the factors and the integral index of food security. Validation of the constructed food security model was based on the method of element-by-element cross-validation.