Analyzing the Population Growth Equation in the Solow Growth Model Including the Population Frequency:Case Study: USA
NouralahSalehiAsfiji, Rahim DalaliIsfahani, RasoleBakhshiDastjerdi, MajidFakhar

Abstract
To obtain a high rate of economic growth needs the recognition of the factors and the potential facilities. A change in the population growth rate could have a significant impact on the economic growth. On one hand with a change in population growth rate would affect the working-age and the manpower, on the other, the life cycle, consumption and as a result the saving and investment would be influenced. The Solow economic growth model considers the population growth (labor force growth) as a function that has a constant growth rate. In this model the equilibrium long-term per capita volume depends on the population growth, in a sense that with an increase in the population growth, per capita capital, per capita production and per capita consumption would decrease. This happens when the economic strength increases with the population growth in a stady-state period. The initial classic assumption is changed in this article based on the available frequencies in the population growth equation that depend on Four known economic (Kitchen Cycle ،Juglar Cycle ، Kuznets Cycle، Kondratieff Wave) cycles. For this purpose the Fourier series approach that is applied in most of engineering mathematics is adapted here.In order to find the appropriate sine and cosine waves statement of the Fourier series fit for the population growth equation, first the population curve is fitted on the an exponential function, then the residuals is fitted on the Fourier series.. In this model we obtain the similar results of the economic growth model of Solow.

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