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Analysis of economic growth differential equations


  • Nouralah Salehi Asfiji
  • Rahim Dalali Isfahane
  • Rasole Bakhshi Dastjerdi
  • Majid Fakhar

    () (University of Isfahan (Iran)
    University of Isfahan (Iran)
    University of Isfahan (Iran)
    University of Isfahan (Iran))


The logistic growth model to explain changes in population growth rates are not. In this paper a new analysis of the population growth rate in the frequency space is described with mathematical logic and economic reasoning, so that, firstly, to a higher level of capital per capita, or at least equal to the Solow growth model reaches Second, the limits of saturation (Carrying-Capacity) is not, and ultimately, population growth rates have an impact on long-term per capita amounts. The initial classic assumption is changed in this article based on the available frequencies in the population growth equation. Finally, the last is based on the feasibility of any population growth rate with population size in the frequency space is proved.

Suggested Citation

  • Nouralah Salehi Asfiji & Rahim Dalali Isfahane & Rasole Bakhshi Dastjerdi & Majid Fakhar, 2014. "Analysis of economic growth differential equations," Social-Economic Debates, Association for Entreprenorial Spirit Promotion, vol. 3(1), pages 22-30, April.
  • Handle: RePEc:sdb:social:v:3:y:2014:i:1:p:22-30

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    References listed on IDEAS

    1. Richard Easterlin, 1966. "On the relation of economic factors to recent and projected fertility changes," Demography, Springer;Population Association of America (PAA), vol. 3(1), pages 131-153, March.
    2. Samuelson, Paul A, 1976. "The Optimum Growth Rate for Population: Agreement and Evaluations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 17(2), pages 516-525, June.
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    More about this item


    Solow growth model; Population growth; The Fourier series; Frequency;

    JEL classification:

    • E1 - Macroeconomics and Monetary Economics - - General Aggregative Models
    • E2 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment
    • E44 - Macroeconomics and Monetary Economics - - Money and Interest Rates - - - Financial Markets and the Macroeconomy


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