Economic Development Process: a compartmental analysis of a macroeconomic model

  • Amadou Banda NDIONE University of Yaounde !
  • Charles Awono ONANA University of Yaoundé I, Faculty of Sciences
Keywords: Compartmental systems; economic development; dynamical system; global sensitivity analysis; fiscal policy.

Abstract

Economic growth and development have always been an interesting topic for economists. Since development is a dynamical process, we developed a new dynamical mathematical model describing the process of economic development. In this paper the compartmental approach, traditionally used in mathematical biology, is applied to built a macroeconomic model characterized by countries. Countries are divided into three classes based on their economic status: D(t) developing countries at time t, E(t) emerging countries at time t and A(t) advanced countries at time t. This minimalist model represents the different stage of development and encompasses the conditions under which a country can change its economic status. Numerical simulations on real economic data are provided in order to illustrate the theoretical part and to support discussion. On the other hand, a global sensitivity analysis is done to identify the factors that most influence the level of development of countries.

References

[1] Bruno B. (2010). The financial and economic crisis and developing countries. United nations New York and Geneva, p 201-207.
[2] Fabio T, (2010). Economics as a compartmental system: a simple macroeconomic example. International review of Economics.
[3] Klaus S., Xavier S., & Fiona P. (2016). The Global Competiveness Report 2015 – 2016. World Economic Forum Geneva, Switzerland.
[4] Klaus S., Xavier S., & Fiona P. (2007). The Global Competiveness Report 2015 – 2016. World Economic Forum Geneva, Switzerland.
[5] Marc A. & Fabio T. (2013). The debt trap: a two-compartment train wreck. MPRA Paper No. 47578 posted 13. June 2013.
[6] Pei-Pei C. (2006). An Investigation of Openness and Economic Growth Using Panel Estimation. University od Pretoria, Working Paper: 2006-22.
[7] Saltelli A. (2004). Sensitivity Analysis in Practice: A Guide to Assessing Scientific Models. Wiley, Hoboken, NJ.
[8] Simone M., Ian B.H., Christian J. R., & Denise E. K. (2008). A Methodology for performing global uncertainty and sensitivity analysis is systems biology. Journal of Theoretical Biology 254 (2008) 178 – 196.
Published
2018-12-11
How to Cite
NDIONE, A., & ONANA, C. (2018). Economic Development Process: a compartmental analysis of a macroeconomic model. Journal of Progressive Research in Mathematics, 14(2), 2366-2372. Retrieved from http://scitecresearch.com/journals/index.php/jprm/article/view/1655
Section
Articles