Guerrini, Luca The Solow–Swan model with a bounded population growth rate. (English) Zbl 1142.91663 J. Math. Econ. 42, No. 1, 14-21 (2006). Summary: The paper analyzes the dynamic of the Solow–Swan growth model when the labor growth rate is non-constant but variable and bounded over time. Per capita capital is seen to stabilize to the non-trivial steady state of the Solow–Swan model with a particular constant labor growth rate. The solution of the model is proved to be asymptotically stable. In case of a Cobb–Douglas production function and a generalized logistic population growth law, the solution is shown to have a closed-form expression via hypergeometric functions. Cited in 1 ReviewCited in 19 Documents MSC: 91B62 Economic growth models Keywords:Solow; Swan model; bounded population growth rate PDF BibTeX XML Cite \textit{L. Guerrini}, J. Math. Econ. 42, No. 1, 14--21 (2006; Zbl 1142.91663) Full Text: DOI OpenURL References: [1] Barro, R.J.; Sala-i-Martin, X., Economic growth, (1995), McGraw-Hill New York [2] Birkhoff, G.; Rota, G., Ordinary differential equations, third ed, (1978), John Wiley and Sons New York [3] Solow, R.M., A contribution to the theory of economic growth, Quarterly journal of economics, 70, 1, 65-94, (1956) [4] Swan, T.W., Economic growth and capital accumulation, Economic record, 32, 63, 334-361, (1956) [5] Whittaker, E.T.; Watson, G.N., A course of modern analysis, (1927), Cambridge University Press London, New York · Zbl 0108.26903 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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.