Analysis and Mathematical Modelling of International Labor Migration

In this paper we propose a dynamic model of one-way migration flow. The model is constructed under the hypothesis that immigration grows when the labor productivity of the recipient country increases in comparison with the labor productivity of the donor country. Theoretical and empirical arguments...

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Main Authors: Alexandra Andreevna Lukina, Alexander Vitalievich Prasolov
Format: Article
Language:English
Published: North-West institute of management of the Russian Presidential Academy of National Economy and Public Administration 2018-04-01
Series:Управленческое консультирование
Subjects:
Online Access:https://www.acjournal.ru/jour/article/view/199
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author Alexandra Andreevna Lukina
Alexander Vitalievich Prasolov
author_facet Alexandra Andreevna Lukina
Alexander Vitalievich Prasolov
author_sort Alexandra Andreevna Lukina
collection DOAJ
description In this paper we propose a dynamic model of one-way migration flow. The model is constructed under the hypothesis that immigration grows when the labor productivity of the recipient country increases in comparison with the labor productivity of the donor country. Theoretical and empirical arguments for subsistence of this rule are presented. Migrant’s remittances are included in the model framework. It is assumed that remittances are used for both consumption and capital investment in the donor country. If the native populations of the recipient and the donor countries are constant, the model is mathematically represented by the third order nonlinear autonomous system of differential equations. The system steady state is found, the economic interpretation of the equilibrium is given. Within the bounds of the model the impact of migration on recipient and donor countries economies is analyzed. Gradual equalizing of the donor country labor productivity with the recipient country labor productivity could be revealed.
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spelling doaj.art-8398ef6d8c6f43328e6332570d1413332024-02-29T09:36:06ZengNorth-West institute of management of the Russian Presidential Academy of National Economy and Public AdministrationУправленческое консультирование1726-11391816-85902018-04-01010146156199Analysis and Mathematical Modelling of International Labor MigrationAlexandra Andreevna Lukina0Alexander Vitalievich Prasolov1Saint-Petersburg State UniversitySaint-Petersburg State UniversityIn this paper we propose a dynamic model of one-way migration flow. The model is constructed under the hypothesis that immigration grows when the labor productivity of the recipient country increases in comparison with the labor productivity of the donor country. Theoretical and empirical arguments for subsistence of this rule are presented. Migrant’s remittances are included in the model framework. It is assumed that remittances are used for both consumption and capital investment in the donor country. If the native populations of the recipient and the donor countries are constant, the model is mathematically represented by the third order nonlinear autonomous system of differential equations. The system steady state is found, the economic interpretation of the equilibrium is given. Within the bounds of the model the impact of migration on recipient and donor countries economies is analyzed. Gradual equalizing of the donor country labor productivity with the recipient country labor productivity could be revealed.https://www.acjournal.ru/jour/article/view/199mathematical modellinginternational labor migrationeconomic growth
spellingShingle Alexandra Andreevna Lukina
Alexander Vitalievich Prasolov
Analysis and Mathematical Modelling of International Labor Migration
Управленческое консультирование
mathematical modelling
international labor migration
economic growth
title Analysis and Mathematical Modelling of International Labor Migration
title_full Analysis and Mathematical Modelling of International Labor Migration
title_fullStr Analysis and Mathematical Modelling of International Labor Migration
title_full_unstemmed Analysis and Mathematical Modelling of International Labor Migration
title_short Analysis and Mathematical Modelling of International Labor Migration
title_sort analysis and mathematical modelling of international labor migration
topic mathematical modelling
international labor migration
economic growth
url https://www.acjournal.ru/jour/article/view/199
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