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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North-West institute of management of the Russian Presidential Academy of National Economy and Public Administration
2018
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oai:doaj.org-article:8398ef6d8c6f43328e6332570d1413332021-11-12T10:46:00ZAnalysis and Mathematical Modelling of International Labor Migration1726-11391816-8590https://doaj.org/article/8398ef6d8c6f43328e6332570d1413332018-04-01T00:00:00Zhttps://www.acjournal.ru/jour/article/view/199https://doaj.org/toc/1726-1139https://doaj.org/toc/1816-8590In 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.Alexandra Andreevna LukinaAlexander Vitalievich PrasolovNorth-West institute of management of the Russian Presidential Academy of National Economy and Public Administration articlemathematical modellinginternational labor migrationeconomic growthPolitical institutions and public administration (General)JF20-2112ENRUУправленческое консультирование, Vol 0, Iss 10, Pp 146-156 (2018) |
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DOAJ |
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topic |
mathematical modelling international labor migration economic growth Political institutions and public administration (General) JF20-2112 |
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mathematical modelling international labor migration economic growth Political institutions and public administration (General) JF20-2112 Alexandra Andreevna Lukina Alexander Vitalievich Prasolov Analysis and Mathematical Modelling of International Labor Migration |
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. |
format |
article |
author |
Alexandra Andreevna Lukina Alexander Vitalievich Prasolov |
author_facet |
Alexandra Andreevna Lukina Alexander Vitalievich Prasolov |
author_sort |
Alexandra Andreevna Lukina |
title |
Analysis and Mathematical Modelling of International Labor Migration |
title_short |
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_sort |
analysis and mathematical modelling of international labor migration |
publisher |
North-West institute of management of the Russian Presidential Academy of National Economy and Public Administration |
publishDate |
2018 |
url |
https://doaj.org/article/8398ef6d8c6f43328e6332570d141333 |
work_keys_str_mv |
AT alexandraandreevnalukina analysisandmathematicalmodellingofinternationallabormigration AT alexandervitalievichprasolov analysisandmathematicalmodellingofinternationallabormigration |
_version_ |
1718430877593108480 |