A two-sex compartmental model of the dynamics of HIV infection was developed and applied to the case of Zambia. Parameters include age specific rates of fertility, mortality, entry into sexual life, number of partners and age of partners. They were all derived from empirical data from...

A mathematical economic model of measuring a worker’s potential and cost-of-living is proposed. Two aspects of the problem of untimely loss of an average statistical demographic element are considered: loss of profit for the regional business system as a whole and the lost value for the...

The article deals with the problem of revealing cause–effect relations in the social research by a complex of statistical methods. The ways for solving the problem for experimental and non-experimental data are regarded. In the research the role of the statistical methods in formation of...

In a recent work Gallo et al. (Math Models Methods Appl. Sci. 19:1427–1439, <CitationRef CitationID="CR4">2009</CitationRef>) examined the parameters for a simple mean-field model of social interactions. Their work presented the model, raw data and parameter estimates with associated confidence intervals for a 4-year period. Here the...</citationref>

We investigate optimal strategies to defend valuable goods against the attacks of a thief. Given the value of the goods and the probability of success for the thief, we look for the strategy that assures the largest benefit to each player irrespective of the strategy of his opponent. Two...