IDEAS home Printed from https://ideas.repec.org/a/eee/matcom/v234y2025icp73-85.html
   My bibliography  Save this article

Dynamic analysis of a Solow–Swan model with capital-induced labor migration

Author

Listed:
  • Li, Chunru
  • Yuan, Xuesong
  • Gong, Yu

Abstract

The Solow–Swan model, introduced in 1956, is a fundamental framework in macroeconomic theory that models long-term economic growth through capital accumulation and labor force dynamics. This research builds on the original Solow–Swan model by incorporating capital-induced labor migration, which is a significant extension considering modern economic contexts where migration plays a crucial role in regional and national economic dynamics. First, we analyze the existence of the solution of the model. Then, we explore the local asymptotic stability and Turing bifurcation of the positive equilibrium. We then study the nonconstant steady state solution of the model as a branch of solution bifurcation from stationary system. And then we investigate the stability of the nonconstant steady state solution. Finally, we present some numerical simulations to verify our theoretical predictions.

Suggested Citation

  • Li, Chunru & Yuan, Xuesong & Gong, Yu, 2025. "Dynamic analysis of a Solow–Swan model with capital-induced labor migration," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 234(C), pages 73-85.
    • Handle: RePEc:eee:matcom:v:234:y:2025:i:c:p:73-85
    DOI: 10.1016/j.matcom.2025.02.021
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378475425000576
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.matcom.2025.02.021?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    1. João Juchem Neto & Julio Claeyssen, 2015. "Capital-induced labor migration in a spatial Solow model," Journal of Economics, Springer, vol. 115(1), pages 25-47, May.
    2. André Braz Golgher & Lízia De Figueiredo & Roberto Santolin, 2011. "Migration And Economic Growth In Brazil: Empirical Applications Based On The Solow‐Swan Model," The Developing Economies, Institute of Developing Economies, vol. 49(2), pages 148-170, June.
    3. Robert M. Solow, 1956. "A Contribution to the Theory of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 70(1), pages 65-94.
    4. T. W. Swan, 1956. "ECONOMIC GROWTH and CAPITAL ACCUMULATION," The Economic Record, The Economic Society of Australia, vol. 32(2), pages 334-361, November.
    5. Alberto Díaz Dapena & Fernando Rubiera-Morollon & Dusan Paredes, 2019. "New Approach to Economic Convergence in the EU: A Multilevel Analysis from the Spatial Effects Perspective," International Regional Science Review, , vol. 42(3-4), pages 335-367, May.
    6. Mustafa Koroglu & Yiguo Sun, 2016. "Functional-Coefficient Spatial Durbin Models with Nonparametric Spatial Weights: An Application to Economic Growth," Econometrics, MDPI, vol. 4(1), pages 1-16, February.
    7. Zhang, Xuebing & An, Qi & Moussaoui, Ali, 2025. "Effect of density-dependent diffusion on a diffusive predator–prey model in spatially heterogeneous environment," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 227(C), pages 1-18.
    8. Juchem Neto, J.P. & Claeyssen, J.C.R. & Pôrto Júnior, S.S., 2018. "Economic agglomerations and spatio-temporal cycles in a spatial growth model with capital transport cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 76-86.
    9. Kadigi, Reuben M.J. & Robinson, Elizabeth & Szabo, Sylvia & Kangile, Joseph & Mgeni, Charles P. & De Maria, Marcello & Tsusaka, Takuji & Nhau, Brighton, 2022. "Revisiting the Solow-Swan model of income convergence in the context of coffee producing and re-exporting countries in the world," LSE Research Online Documents on Economics 115636, London School of Economics and Political Science, LSE Library.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Ali Balcı, Mehmet, 2017. "Time fractional capital-induced labor migration model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 477(C), pages 91-98.
    2. Juchem Neto, J.P. & Claeyssen, J.C.R. & Pôrto Júnior, S.S., 2018. "Economic agglomerations and spatio-temporal cycles in a spatial growth model with capital transport cost," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 494(C), pages 76-86.
    3. Sahar Amidi & Ali Fagheh Majidi & Bakhtiar Javaheri, 2020. "Growth spillover: a spatial dynamic panel data and spatial cross section data approaches in selected Asian countries," Future Business Journal, Springer, vol. 6(1), pages 1-14, December.
    4. João Juchem Neto & Julio Claeyssen, 2015. "Capital-induced labor migration in a spatial Solow model," Journal of Economics, Springer, vol. 115(1), pages 25-47, May.
    5. Kawalec Paweł, 2020. "The dynamics of theories of economic growth: An impact of Unified Growth Theory," Economics and Business Review, Sciendo, vol. 6(2), pages 19-44, June.
    6. van de Klundert, T.C.M.J. & Smulders, J.A., 1991. "Reconstructing growth theory : A survey," Other publications TiSEM 19355c51-17eb-4d5d-aa66-b, Tilburg University, School of Economics and Management.
    7. Mishra, Vinod & Smyth, Russell, 2014. "Convergence in energy consumption per capita among ASEAN countries," Energy Policy, Elsevier, vol. 73(C), pages 180-185.
    8. Khalifa Hassanain, 2015. "Special Drawing Right and Currency Risk Management," International Journal of Economics and Financial Issues, Econjournals, vol. 5(3), pages 780-785.
    9. Matthias Firgo & Peter Mayerhofer, 2015. "Wissens-Spillovers und regionale Entwicklung - welche strukturpolitische Ausrichtung optimiert des Wachstum?," Working Paper Reihe der AK Wien - Materialien zu Wirtschaft und Gesellschaft 144, Kammer für Arbeiter und Angestellte für Wien, Abteilung Wirtschaftswissenschaft und Statistik.
    10. Valentina Ciriotto & José Noguera-Santaella, 2023. "The Catching up in Steady State per Capita Income: Latin America and the Caribbean," Atlantic Economic Journal, Springer;International Atlantic Economic Society, vol. 51(1), pages 71-82, March.
    11. Filipa Correia & Philipp Erfruth & Julie Bryhn, 2018. "The 2030 Agenda: The roadmap to GlobALLizaton," Working Papers 156, United Nations, Department of Economics and Social Affairs.
    12. George Halkos & Iacovos Psarianos, 2016. "Exploring the effect of including the environment in the neoclassical growth model," Environmental Economics and Policy Studies, Springer;Society for Environmental Economics and Policy Studies - SEEPS, vol. 18(3), pages 339-358, July.
    13. Martina Vukašina & Ines Kersan-Škabiæ & Edvard Orliæ, 2022. "Impact of European structural and investment funds absorption on the regional development in the EU–12 (new member states)," Equilibrium. Quarterly Journal of Economics and Economic Policy, Institute of Economic Research, vol. 17(4), pages 857-880, December.
    14. Sudip Ranjan Basu, 2005. "Correlating Growth with Well-Being during Economic Reforms Evidence from India and China," Development and Comp Systems 0509010, University Library of Munich, Germany.
    15. Liu, Tung & Li, Kui-Wai, 2006. "Disparity in factor contributions between coastal and inner provinces in post-reform China," China Economic Review, Elsevier, vol. 17(4), pages 449-470.
    16. Roberto Veneziani & Luca Zamparelli & Michalis Nikiforos & Gennaro Zezza, 2017. "Stock-Flow Consistent Macroeconomic Models: A Survey," Journal of Economic Surveys, Wiley Blackwell, vol. 31(5), pages 1204-1239, December.
    17. Kevin S. Nell & A.P. Thirlwall, 2017. "Why does the productivity of investment vary across countries?," PSL Quarterly Review, Economia civile, vol. 70(282), pages 213-245.
    18. Simplice A. Asongu & Voxi Amavilah & Antonio R. Andrés, 2014. "Economic Implications of Business Dynamics for KE-Associated Economic Growth and Inclusive Development in African Countries," Research Africa Network Working Papers 14/023, Research Africa Network (RAN).
    19. Robert M. Solow, 2000. "La teoria neoclassica della crescita e della distribuzione," Moneta e Credito, Economia civile, vol. 53(210), pages 149-185.
    20. Tisdell, Clem, 2011. "Biodiversity conservation, loss of natural capital and interest rates," Ecological Economics, Elsevier, vol. 70(12), pages 2511-2515.

    More about this item

    Keywords

    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:matcom:v:234:y:2025:i:c:p:73-85. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/mathematics-and-computers-in-simulation/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.