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The paper presents mathematical model of the changing age structure of the population of the region is submitted. The population is considered as a system consisting of three groups: working age, young age and elderly age. The model is a system of differential equations with respect to shares of the above three age groups in the general population and the corresponding initial conditions. The model parameters are the coefficients of fertility, mortality and age-shifting, obtained by processing statistical demograp...

The aim of this work is to build a mathematical model of the dynamics and mutual influence of the population and environmental factors – pollution of the atmosphere and surface water bodies – on an urbanized territory. The paper proposes a simulation model of dynamics and interaction of external and internal directions in biosphere-compatible city activities. The external direction of city’s activities is removal of resources from the Biosphere and emission of waste polluting water, air and soil into it. The ...