A generalized Solow-Swan model. (English) Zbl 1406.91256

Summary: We set up a generalized Solow-Swan model to study the exogenous impact of population, saving rate, technological change, and labor participation rate on economic growth. By introducing generalized exogenous variables into the classical Solow-Swan model, we obtain a nonautomatic differential equation. It is proved that the solution of the differential equation is asymptotically stable if the generalized exogenous variables converge and does not converge when one of the generalized exogenous variables persistently oscillates.


91B62 Economic growth models
34D20 Stability of solutions to ordinary differential equations
Full Text: DOI


[1] Barro, J. R.; Sala-i-Martin, X., Economic Growth (1995), New York, NY, USA: McGraw-Hill, New York, NY, USA
[2] Romer, D., Advanced Macroeconomics (2006), New York, NY, USA: McGraw-Hill, New York, NY, USA
[3] Solow, R. M., A contribution to the theory of economic growth, Quarterly Journal of Economics, 70, 65-94 (1956)
[4] Bloom, D. E.; Williamson, J. G., Demographic transitions and economic miracles in emerging Asia, The Word Bank Economic Review, 12, 419-455 (1998)
[5] Galor, O.; Weil, D. N., From Malthusian stagnation to modern growth, The American Economic Review, 89, 150-154 (1999)
[6] Galor, O.; Weil, D. N., Population, technology, and growth: from Malthusian stagnation to the demographic transition and beyond, The American Economic Review, 90, 806-828 (2000)
[7] Galor, O., The demographic transition and the emergence of sustained economic growth, Journal of the European Economic Association, 3, 494-504 (2005)
[8] Strulik, H., Demographic transition, stagnation, and demoeconomic cycles in a model for the less developed economy, Journal of Macroeconomics, 21, 397-413 (1991)
[9] Tabata, K., Inverted \(U\)-shaped fertility dynamics, the poverty trap and growth, Economics Letters, 81, 2, 241-248 (2003) · Zbl 1254.91694 · doi:10.1016/S0165-1765(03)00188-5
[10] Pan, H., Dynamic and endogenous change of input-output structure with specific layers of technology, Structural Change and Economic Dynamics, 17, 200-223 (2006)
[11] Bloom, D. E.; Canning, D.; Sevilla, J., Economic growth and the demographic transition, NBER Working Paper, 8685 (2001)
[12] Lindh, T., Age structure and economic policy: the case of saving and growth, Population Research and Policy Review, 18, 3, 261-277 (1999) · doi:10.1023/A:1006123514049
[13] Hartman, P., Ordinary Differential Equations (1964), New York, NY, USA: John Wiley & Sons, New York, NY, USA · Zbl 0125.32102
[14] Jordan, D. W.; Smith, P., Nonlinear Ordinary Differential Equations—An Introduction for Scientists and Engineers (2007), New York, NY, USA: Oxford University Press, New York, NY, USA · Zbl 1130.34001
[15] Guerrini, L., The Solow-Swan model with a bounded population growth rate, Journal of Mathematical Economics, 42, 1, 14-21 (2006) · Zbl 1142.91663 · doi:10.1016/j.jmateco.2005.05.001
[16] McQuaid, R. W., The aging of the labor force and globalization, Globalization and Regional Economic Modeling. Globalization and Regional Economic Modeling, Advances in Spatial Science, 69-85 (2007)
[17] Zhou, M.; Cai, D.; Chen, H., A Solow-Swan model with technological overflow and catch-up, Wuhan University Journal of Natural Sciences, 12, 6, 975-978 (2007) · Zbl 1174.91570 · doi:10.1007/s11859-007-0051-7
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.