IDEAS home Printed from https://ideas.repec.org/a/eee/chsofr/v130y2020ics0960077919303984.html
   My bibliography  Save this article

Delay growth model augmented with physical and human capitals

Author

Listed:
  • Matsumoto, Akio
  • Szidarovszky, Ferenc

Abstract

A growth model with a special production function augmented with physical capital and human capital is modified and used to explain the birth of cyclical dynamics. Crucial feature of the model is the assumption that there are a gestation delay and a maturation delay in constructing physical capital and human capital, respectively. Dynamics is described by a continuous time system of delay differential equations. Stability switching curves and directions of stability switches are analytically derived where stability of the model might be lost and regained. Its shape is numerically verified and it is confirmed that the two-delay model can generate a wide variety of dynamics from simple dynamics to complex dynamics.

Suggested Citation

  • Matsumoto, Akio & Szidarovszky, Ferenc, 2020. "Delay growth model augmented with physical and human capitals," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    • Handle: RePEc:eee:chsofr:v:130:y:2020:i:c:s0960077919303984
    DOI: 10.1016/j.chaos.2019.109452
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0960077919303984
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.chaos.2019.109452?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 search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. Luca Guerrini & Akio Matsumoto & Ferenc Szidarovszky, 2019. "Neoclassical growth model with two fixed delays," Metroeconomica, Wiley Blackwell, vol. 70(3), pages 423-441, July.
    3. N. Gregory Mankiw & David Romer & David N. Weil, 1992. "A Contribution to the Empirics of Economic Growth," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 107(2), pages 407-437.
    4. Akio Matsumoto & Ferenc Szidarovszky, 2018. "Dynamic Oligopolies with Time Delays," Springer Books, Springer, number 978-981-13-1786-6, January.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Matsumoto, Akio & Szidarovszky, Ferenc, 2023. "Delay Solow Model with a Normalized CES Production Function," Journal of Economic Behavior & Organization, Elsevier, vol. 213(C), pages 305-323.
    2. Gilberto González-Parra & Benito Chen-Charpentier & Abraham J. Arenas & Miguel Díaz-Rodríguez, 2022. "Mathematical Modeling of Physical Capital Diffusion Using a Spatial Solow Model: Application to Smuggling in Venezuela," Economies, MDPI, vol. 10(7), pages 1-16, July.
    3. G. Rigatos & P. Siano & M. Abbaszadeh & T. Ghosh, 2021. "Nonlinear optimal control of coupled time-delayed models of economic growth," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 375-399, June.
    4. Akio Matsumoto & Ferenc Szidarovszky, 2021. "Delay two-sector economic growth model with a Cobb–Douglas production function," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 44(1), pages 341-358, June.

    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. Matsumoto, Akio & Szidarovszky, Ferenc, 2023. "Delay Solow Model with a Normalized CES Production Function," Journal of Economic Behavior & Organization, Elsevier, vol. 213(C), pages 305-323.
    2. Kutuk, Yasin, 2022. "Inequality convergence: A world-systems theory approach," Structural Change and Economic Dynamics, Elsevier, vol. 63(C), pages 150-165.
    3. 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.
    4. Tung Liu & Kui-Wai Li, 2008. "Revisiting Solow’s Decomposition of Economic and Productivity Growth," Working Papers 200805, Ball State University, Department of Economics, revised Dec 2008.
    5. Roberto Martino & Phu Nguyen-Van, 2014. "Labour market regulation and fiscal parameters: A structural model for European regions," Working Papers of BETA 2014-19, Bureau d'Economie Théorique et Appliquée, UDS, Strasbourg.
    6. Sodiq Arogundade & Mduduzi Biyase & Hinaunye Eita, 2021. "Foreign Direct Investment and Inclusive Human Development in Sub-Saharan African Countries:Does local Economic Conditions Matter?," Economic Development and Well-being Research Group Working Paper Series edwrg-01-2021, University of Johannesburg, College of Business and Economics, revised 2021.
    7. Baharumshah, Ahmad Zubaidi & Slesman, Ly & Wohar, Mark E., 2016. "Inflation, inflation uncertainty, and economic growth in emerging and developing countries: Panel data evidence," Economic Systems, Elsevier, vol. 40(4), pages 638-657.
    8. Olusanya, Oluwakorede, 2016. "Causality between Human Resource Development and the Nigerian Economic Performance," MPRA Paper 100854, University Library of Munich, Germany.
    9. Murach, Michael & Wagner, Helmut & Kim, Jungsuk & Park, Donghyun, 2022. "Trajectories to high income: Comparing the growth dynamics in China, South Korea, and Japan with cointegrated VAR models," Structural Change and Economic Dynamics, Elsevier, vol. 62(C), pages 492-511.
    10. B. Bhaskara Rao & Arusha Cooray, 2012. "How useful is growth literature for policies in the developing countries?," Applied Economics, Taylor & Francis Journals, vol. 44(6), pages 671-681, February.
    11. Alfò, Marco & Carbonari, Lorenzo & Trovato, Giovanni, 2023. "On the effects of taxation on growth: an empirical assessment," Macroeconomic Dynamics, Cambridge University Press, vol. 27(5), pages 1289-1318, July.
    12. Cuffaro, Nadia, 1997. "Population growth and agriculture in poor countries: A review of theoretical issues and empirical evidence," World Development, Elsevier, vol. 25(7), pages 1151-1163, July.
    13. Mustafa Gömleksiz & Ahmet Şahbaz & Birol Mercan, 2017. "Regional Economic Convergence in Turkey: Does the Government Really Matter for?," Economies, MDPI, vol. 5(3), pages 1-16, July.
    14. Panagiotis Pegkas & Constantinos Tsamadias, 2017. "Are There Separate Effects of Male and Female Higher Education on Economic Growth? Evidence from Greece," Journal of the Knowledge Economy, Springer;Portland International Center for Management of Engineering and Technology (PICMET), vol. 8(1), pages 279-293, March.
    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. 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.
    17. Evan Lau & Koon Po Lee, 2008. "Interdependence of income between China and ASEAN‐5 countries," Journal of Chinese Economic and Foreign Trade Studies, Emerald Group Publishing Limited, vol. 1(2), pages 148-161, June.
    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. Andrés, Antonio R. & Goel, Rajeev K., 2012. "Does software piracy affect economic growth? Evidence across countries," Journal of Policy Modeling, Elsevier, vol. 34(2), pages 284-295.
    20. Robert M. Solow, 2000. "La teoria neoclassica della crescita e della distribuzione," Moneta e Credito, Economia civile, vol. 53(210), pages 149-185.

    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:chsofr:v:130:y:2020:i:c:s0960077919303984. 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: Thayer, Thomas R. (email available below). General contact details of provider: https://www.journals.elsevier.com/chaos-solitons-and-fractals .

    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.