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 Pampa (Unipampa - Campus Alegrete)

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 Pampa (Unipampa - Campus Alegrete) ( email )

Av. Tiarajú, 810 - Bairro: Ibirapuitã
Alegrete, RS 97546-550
Brazil

HOME PAGE: http://www.jpjuchem.webs.com

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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