IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v12y2024i20p3219-d1498662.html
   My bibliography  Save this article

Combining Differential Equations with Stochastic for Economic Growth Models in Indonesia: A Comprehensive Literature Review

Author

Listed:
  • Muhamad Deni Johansyah

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jalan Raya Bandung-Sumedang, Km. 21, Jatinangor, Sumedang 45363, Jawa Barat, Indonesia)

  • Endang Rusyaman

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jalan Raya Bandung-Sumedang, Km. 21, Jatinangor, Sumedang 45363, Jawa Barat, Indonesia)

  • Bob Foster

    (Faculty of Economics and Business, Universitas Informatika dan Bisnis Indonesia, Jalan Soekarno-Hatta No. 643, Bandung 40285, Jawa Barat, Indonesia)

  • Khoirunnisa Rohadatul Aisy Muslihin

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jalan Raya Bandung-Sumedang, Km. 21, Jatinangor, Sumedang 45363, Jawa Barat, Indonesia)

  • Asep K. Supriatna

    (Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Jalan Raya Bandung-Sumedang, Km. 21, Jatinangor, Sumedang 45363, Jawa Barat, Indonesia)

Abstract

Economic growth modeling is one of the methods a government can use to formulate appropriate economic policies to improve the prosperity of its people. Differential equations and stochastic models play a major role in studying economic growth. This article aims to conduct a literature review on the use of differential equations in relation to stochastics to model economic growth. In addition, this article also discusses the use of differential and stochastic equations in economic growth models in Indonesia. This study involves searching for and selecting articles to obtain a collection of research works relevant to the application of differential and stochastic equations to economic growth models, supported by bibliometric analysis. The results of this literature review show that there is still little research discussing economic growth models using differential equations combined with stochastic models, especially those applied in Indonesia. While the application of these models remains relatively limited, their potential to offer deeper insights into the complex dynamics of economic growth is undeniable. By further developing and refining these models, we can gain a more comprehensive understanding of the factors driving growth and the potential implications of various economic policies. This will ultimately equip policy-makers with a more powerful analytical tool for making informed decisions.

Suggested Citation

  • Muhamad Deni Johansyah & Endang Rusyaman & Bob Foster & Khoirunnisa Rohadatul Aisy Muslihin & Asep K. Supriatna, 2024. "Combining Differential Equations with Stochastic for Economic Growth Models in Indonesia: A Comprehensive Literature Review," Mathematics, MDPI, vol. 12(20), pages 1-15, October.
  • Handle: RePEc:gam:jmathe:v:12:y:2024:i:20:p:3219-:d:1498662
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/12/20/3219/pdf
    Download Restriction: no

    File URL: https://www.mdpi.com/2227-7390/12/20/3219/
    Download Restriction: no
    ---><---

    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. Ewald, Christian Oliver & Nolan, Charles, 2024. "On the adaptation of the Lagrange formalism to continuous time stochastic optimal control: A Lagrange-Chow redux," Journal of Economic Dynamics and Control, Elsevier, vol. 162(C).
    3. Juan Zhang & Qi Yu & Fashan Zheng & Chao Long & Zuxun Lu & Zhiguang Duan, 2016. "Comparing keywords plus of WOS and author keywords: A case study of patient adherence research," Journal of the Association for Information Science & Technology, Association for Information Science & Technology, vol. 67(4), pages 967-972, April.
    4. Johnston, Louis D., 2002. "Lectures on Economic Growth. By Robert E. Lucas Jr. Cambridge, MA: Harvard University Press, 2002. Pp. xi, 204. $49.95," The Journal of Economic History, Cambridge University Press, vol. 62(3), pages 915-916, September.
    5. Julius Tan Gonzales, 2023. "Implications of AI innovation on economic growth: a panel data study," Journal of Economic Structures, Springer;Pan-Pacific Association of Input-Output Studies (PAPAIOS), vol. 12(1), pages 1-37, December.
    6. Hui Ying SNG & Shahidur RAHMAN & Wai Mun CHIA, 2009. "Economic Growth And Transition: A Stochastic Technological Diffusion Model," Journal of Economic Development, Chung-Ang Unviersity, Department of Economics, vol. 34(2), pages 1-25, December.
    7. Hao Ming & JinRong Wang & Michal Fečkan, 2019. "The Application of Fractional Calculus in Chinese Economic Growth Models," Mathematics, MDPI, vol. 7(8), pages 1-6, July.
    8. Black, Fischer & Scholes, Myron S, 1973. "The Pricing of Options and Corporate Liabilities," Journal of Political Economy, University of Chicago Press, vol. 81(3), pages 637-654, May-June.
    9. Abdul Bashir & K. M. Husni Thamrin & Muhammad Farhan & Mukhlis Mukhlis & Dirta Pratama Atiyatna, 2019. "The Causality between Human Capital, Energy Consumption, CO2 Emissions, and Economic Growth: Empirical Evidence from Indonesia," International Journal of Energy Economics and Policy, Econjournals, vol. 9(2), pages 98-104.
    10. Vasily E. Tarasov, 2020. "Non-Linear Macroeconomic Models of Growth with Memory," Mathematics, MDPI, vol. 8(11), pages 1-22, November.
    11. Yang, Xiangfeng & Liu, Yuhan & Park, Gyei-Kark, 2020. "Parameter estimation of uncertain differential equation with application to financial market," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    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. Paulo Ferreira & Éder J.A.L. Pereira & Hernane B.B. Pereira, 2020. "From Big Data to Econophysics and Its Use to Explain Complex Phenomena," JRFM, MDPI, vol. 13(7), pages 1-10, July.
    2. Giuseppe Garofalo, 2014. "Irreducible complexities: from Gödel and Turing to the paradigm of Imperfect Knowledge Economics," Quality & Quantity: International Journal of Methodology, Springer, vol. 48(6), pages 3463-3474, November.
    3. Borges da Silva, Eduardo & Moreno Cordeiro de Sousa, Alexandre, 2022. "Avaliação econômico-financeira de fintechs no mercado brasileiro: o caso INTER [Economic and financial evaluation of fintech in the Brazilian market: the case of INTER]," MPRA Paper 115509, University Library of Munich, Germany.
    4. Paul Handro & Bogdan Dima, 2024. "Analyzing Financial Markets Efficiency: Insights from a Bibliometric and Content Review," Journal of Financial Studies, Institute of Financial Studies, vol. 16(9), pages 119-175, May.
    5. Dejen Ketema Mamo & Enat Agachew Ayele & Shewafera Wondimagegnhu Teklu, 2024. "Modelling and Analysis of the Impact of Corruption on Economic Growth and Unemployment," SN Operations Research Forum, Springer, vol. 5(2), pages 1-24, June.
    6. Lance Taylor, 2015. "Veiled Repression: Mainstream Economics, Capital Theory,and the Distributions of Income and Wealth," Working Papers Series 32, Institute for New Economic Thinking.
    7. Olkhov, Victor, 2023. "Economic Theory as Successive Approximations of Statistical Moments," MPRA Paper 118722, University Library of Munich, Germany.
    8. Hsieh Hsih-chia & Hsieh Pei-gin, 2004. "A Generalized Theory of Monetary and Macroeconomics," Money Macro and Finance (MMF) Research Group Conference 2004 50, Money Macro and Finance Research Group.
    9. Tenorio Villal¢n, Angel F. & Martín Caraballo, Ana M. & Paralera Morales, Concepción & Contreras Rubio, Ignacio, 2013. "Ecuaciones diferenciales y en diferencias aplicadas a los conceptos económicos y financieros || Differential and Difference Equations Applied to Economic and Financial Concepts," Revista de Métodos Cuantitativos para la Economía y la Empresa = Journal of Quantitative Methods for Economics and Business Administration, Universidad Pablo de Olavide, Department of Quantitative Methods for Economics and Business Administration, vol. 16(1), pages 165-199, December.
    10. Markus K. Brunnermeier & Yuliy Sannikov, 2016. "Macro, Money and Finance: A Continuous Time Approach," NBER Working Papers 22343, National Bureau of Economic Research, Inc.
    11. Zhiyong Huang & Chunliu Zhu & Jinwu Gao, 2021. "Stability analysis for uncertain differential equation by Lyapunov’s second method," Fuzzy Optimization and Decision Making, Springer, vol. 20(1), pages 129-144, March.
    12. Wang, Weiwei & Ralescu, Dan A., 2021. "Valuation of lookback option under uncertain volatility model," Chaos, Solitons & Fractals, Elsevier, vol. 153(P1).
    13. Blenman, L. P. & Cantrell, R. S. & Fennell, R. E. & Parker, D. F. & Reneke, J. A. & Wang, L. F. S. & Womer, N. K., 1995. "An alternative approach to stochastic calculus for economic and financial models," Journal of Economic Dynamics and Control, Elsevier, vol. 19(3), pages 553-568, April.
    14. Jia, Lifen & Chen, Wei, 2020. "Knock-in options of an uncertain stock model with floating interest rate," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
    15. Jin, Ting & Ding, Hui & Xia, Hongxuan & Bao, Jinfeng, 2021. "Reliability index and Asian barrier option pricing formulas of the uncertain fractional first-hitting time model with Caputo type," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    16. Vasily E. Tarasov, 2019. "On History of Mathematical Economics: Application of Fractional Calculus," Mathematics, MDPI, vol. 7(6), pages 1-28, June.
    17. Troy Tassier, 2013. "Handbook of Research on Complexity, by J. Barkley Rosser, Jr. and Edward Elgar," Eastern Economic Journal, Palgrave Macmillan;Eastern Economic Association, vol. 39(1), pages 132-133.
    18. Liu, Zhe & Yang, Ying, 2022. "Moment estimation for parameters in high-order uncertain differential equations," Applied Mathematics and Computation, Elsevier, vol. 433(C).
    19. Ramaprasad Bhar, 2010. "Stochastic Filtering with Applications in Finance," World Scientific Books, World Scientific Publishing Co. Pte. Ltd., number 7736, August.
    20. Shi, Gang & Gao, Jinwu, 2021. "European Option Pricing Problems with Fractional Uncertain Processes," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).

    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:gam:jmathe:v:12:y:2024:i:20:p:3219-:d:1498662. 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.com .

    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.