Presented here is the mathematical model with one commodity binding the commodity's demand, production, consumption, and savings values, and describing the economic system's reaction after increase of commodity's demand on market. It is also shown the formula for optimal behavior of an interest...

Presented here is the mathematical model of business fluctuations, which can be observed in the Economy described by the Input-Output Model of Wassily Leontief. These fluctuations are obtained as a solution of the corresponding matrix differential equations, which interrelate commodities'...

There are shown the ordinary differential equations describing the fluctuations of equities, derivatives, and second derivatives on the stock market.

Presented here a mathematical model with one commodity that describes the mutual relationship between two sets of differential equations generating respectively the commodity's production and price fluctuations.

The framework of mathematical dynamics of economic systems is applied to the development of financial crisis. A view is proposed that the severity of financial crises can be explained by means of superposition of the fluctuations on connected markets exhibited in the form of a resonance...

Presented is a simplified mathematical model that describes dynamics developing on financial market after the liquidity pumping. The model is used to examine theoretical and practical implications of the monetary component of Abenomics. Based on the theoretical considerations, proposed is a...

Presented is a mathematical model of single-product economy describing a nominal economic growth and a nominal economic decline. Based on the model of economic dynamics, policies handling the gravity of the secular stagnation are furnished. First, transition of the secular stagnation into the...

For the purpose of determining the influence of the amount of savings circulating in national economy on that economy's growth or drop, a discrete mathematical model with one commodity was developed describing its production as a function of joint investments, depreciation, and introduction of...

Here I depict the dynamics behind the monetary theory and define the differential equations describing the driving forces.

Paper introduces mathematical models describing long-time effects of real savings on economic growth. Models are built for single-product and multiple-product economy with market forces presented through the system of ordinary differential equations. Modeling results show a limited long-run...