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| Format: | Artículo científico |
| Sprache: | en |
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Universidade Federal de Santa Maria
2016
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| Online-Zugang: | https://www.redalyc.org/articulo.oa?id=467546204018 |
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- Closed-form solution to an economic growth logistic model with constant migration João Plínio Juchem Neto Julio Cesar Ruiz Claeyssen Daniele Ritelli Giovanni Mingari Scarpello Estudios Ambientales Migration Beta function Appell function Logistic labor growth Solow economic growth model This paper considers a Solow-Swan economic growth model with the labor force ruled by the logistic equation added by aconstant migration rate, I. We prove the global asymptotic stability of the capital and production per capita. Considering aCobb-Douglas production function, we show this model to have a closed-form solution, which is expressed in terms of the Betaand Appell F1 special functions. We also show, through simulations, that if I > 0, it implies in a smaller capital and productper capita in the short term, but in a higher capital and product per capita in the middle and long terms. In both cases, these percapita variables converge to the same steady-state given by the model without migration. If I < 0 the transient behavior is theopposite. Finally, if I = 0, we recover the solution for the pure logistic case, involving Gauss’ Hypergeometric Function 2F1. 2016 artículo científico 0100-8307 https://www.redalyc.org/articulo.oa?id=467546204018 en http://www.redalyc.org/revista.oa?id=4675 Ciência e Natura application/pdf Universidade Federal de Santa Maria Ciência e Natura (Brasil) Num.2 Vol.38