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Mathematical Dynamics of Economic Growth as Effect of Internal Savings


  • Krouglov, Alexei


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 economic growth for occasional and constant-rate systematic internal savings, a steady long-run economic growth if acceleration rate of internal savings lies within the proper limit for every industry, and a steady long-run economic decline if acceleration rate of internal savings exceeds the suitable limit for certain industry. Modeling outcome also suggests that a long-run economic growth requires direct investment of internal savings into appropriate investment vehicles with exclusion from savings-investment chain the interest-rate-bearing bank accounts with clear danger of suffering a long-run economic decline in case of violation of the requirement.

Suggested Citation

  • Krouglov, Alexei, 2006. "Mathematical Dynamics of Economic Growth as Effect of Internal Savings," MPRA Paper 1262, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:1262

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    References listed on IDEAS

    1. Alexei Krouglov, 1998. "Dynamics of Business Fluctuations in the Leontief-type Economy," Macroeconomics 9807007, EconWPA.
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    Cited by:

    1. Krouglov, Alexei, 2014. "Secular stagnation and decline: a simplified model," MPRA Paper 60750, University Library of Munich, Germany.
    2. Krouglov, Alexei, 2015. "Credit expansion and contraction: a simplified model," MPRA Paper 64227, University Library of Munich, Germany.
    3. Krouglov, Alexei, 2015. "Mathematical model of the Greek crisis," MPRA Paper 66115, University Library of Munich, Germany.
    4. Krouglov, Alexei, 2015. "Economic growth and debt: a simplified model," MPRA Paper 65178, University Library of Munich, Germany.
    5. Krouglov, Alexei, 2014. "Monetary part of Abenomics: a simplified model," MPRA Paper 53397, University Library of Munich, Germany.
    6. Krouglov, Alexei, 2016. "Mathematical model of the economic trend," MPRA Paper 74919, University Library of Munich, Germany.
    7. Krouglov, Alexei, 2013. "Simplified mathematical model of financial crisis," MPRA Paper 44021, University Library of Munich, Germany.

    More about this item


    Business Fluctuations; Economic Growth; Savings; Investment;

    JEL classification:

    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles
    • O41 - Economic Development, Innovation, Technological Change, and Growth - - Economic Growth and Aggregate Productivity - - - One, Two, and Multisector Growth Models

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