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 here is a simplified mathematical model describing a supply side crisis caused by the coronavirus pandemic (COVID – 19). Model of a single-product economy is presented where the supply shock has a constant acceleration. If amount of the supply shock has a modest positive acceleration...

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...

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...

Presented here is a simplified mathematical model exploring dynamic factors of the economic growth. In particular, it examines two factors affecting the economic growth – first factor is an increase of the rates of product investment and another factor is an increase of the rates of product...

Presented here is the mathematical model with one commodity describing the dynamics of the inflationary process. This model is also applied to research how the hypothesis of rational expectations could affect the commodity's demand and production after increasing the amount of money on the market

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 rate