Migration in a Solow Growth Model

15 Pages Posted: 30 Mar 2010

See all articles by J. P. Juchem Neto

J. P. Juchem Neto

Universidade Federal do Rio Grande do Sul (UFRGS)

J. C. R. Claeyssen

Universidade Federal do Rio Grande do Sul (UFRGS)

Daniele Ritelli

University of Bologna - Department of Mathematics for Economic and Social Sciences

Giovanni Mingari Scarpello

Free University of Bozen-Bolzano

Date Written: February 25, 2009

Abstract

In this work we deal with the Solow-Swan economic growth model, when the labor force is ruled by the Malthusian law added by a constant migration rate I. Considering a Cobb-Douglas production function, we prove some stability issues and find a closed-form solution for the emigration case, involving Gauss’ Hypergeometric functions. In addition, we prove that, depending on the value of the emigration rate, the economy could collapse, stabilize at a constant level, or grow more slowly than the Solow-Swan model. Immigration also can be analyzed by the model if the Malthusian manpower is declining.

Keywords: Solow Growth Model, Migration, Hypergeometric Function

JEL Classification: C61, C62, O41

Suggested Citation

Juchem Neto, Joao Plinio and Claeyssen, Julio Cesar Ruiz and Ritelli, Daniele and Mingari Scarpello, Giovanni, Migration in a Solow Growth Model (February 25, 2009). Available at SSRN: https://ssrn.com/abstract=1578565 or http://dx.doi.org/10.2139/ssrn.1578565

Joao Plinio Juchem Neto (Contact Author)

Universidade Federal do Rio Grande do Sul (UFRGS) ( email )

Av. João Pessoa, 52 - Centro Histórico
Porto Alegre, RS 90040-000
Brazil

HOME PAGE: http://professor.ufrgs.br/plinio/

Julio Cesar Ruiz Claeyssen

Universidade Federal do Rio Grande do Sul (UFRGS) ( email )

Av. Carlos Gomes 1111
Porto Alegre, Rio Grande do Sul 90480-004
Brazil

Daniele Ritelli

University of Bologna - Department of Mathematics for Economic and Social Sciences ( email )

Piazza Scaravilli 2
40139 Bologna
Italy

Giovanni Mingari Scarpello

Free University of Bozen-Bolzano ( email )

Via Sernesi 1
39100 Bolzano
Italy

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