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 here are simplified mathematical models to evaluate the long-term investment values. A framework of the single product economy is used, which clarifies conceptual explanation. The short-term effects are mostly discarded and focus is done on the long-term economic trends. Two models are...

Presented here is a simplified mathematical model to reflect a weak recovery after the financial crisis. The model confirms hypothesis that the weak recovery is caused by a decline in investment not compensated by the interest rate decrease. The model explains a transformation of economic trend...

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 simplified mathematical model of the Greek economy with a reduced description of different stages of the current Greek crisis. Explored are conditions where a stream of investments can pull economy from the crisis. It has been theoretically proven that an investment in the benign...

Presented is a mathematical model of single-product economy where an investment and debt are used to alter the demand for and supply of product. Explored is the dynamics of a nominal economic growth and decline. Examined are cases of a constant-rate growing debt and a constant-rate and...

Presented is a mathematical model of single-product economy where credit expansion is used to increase the demand for product. Explored is the dynamics of affected product's price, supply and demand. Shown is that expansion of the demand carries a temporal character