Volume 4, Issue 1, March 2019, Page: 21-26
A Numerical Analysis of Basis Function on Population Growth Using Gompertz Approach
Ayinde Samuel Olukayode, Department of Mathematics, Faculty of Science, Ekiti State University, Ado Ekiti, Nigeria
Received: Apr. 8, 2019;       Accepted: May 23, 2019;       Published: Jun. 5, 2019
DOI: 10.11648/j.ajmcm.20190401.13      View  102      Downloads  18
Abstract
Population growth rate is a factor in determining how great a burden would be imposed on a country by the changing needs of its people for infrastructure. This average annual percentage change in population is as a result of either a surplus or deficit of births rate over deaths rate and the balance of migrants entering or emigrants leaving the country. This rate may either be positive or negative. This rate is the basis used by countries for national planning and projections. Management and Control of population growth has become a singular most important national concern due to dwindling Economic fortunes and competition for essential resources. Gompertz function has always been of interest and being used by Actuaries and Demographers when analyzing population growth. In this research, an interpolating function was proposed following Gompertz function approach and a Numerical scheme was developed to solve a population growth problem. The new scheme has been tested and found to be numerically stable and convergent. The scheme is also found to be effective as the numerical solution is nearly the same as that of the analytic solution of the problem. The method is also used to predict the future population growth in Nigeria.
Keywords
Gompertz Function, Mathematical Method, Population Growth, Carrying Capacity, Basis Function, Mortality Rate, Global Fertility
To cite this article
Ayinde Samuel Olukayode, A Numerical Analysis of Basis Function on Population Growth Using Gompertz Approach, American Journal of Mathematical and Computer Modelling. Vol. 4, No. 1, 2019, pp. 21-26. doi: 10.11648/j.ajmcm.20190401.13
Copyright
Copyright © 2019 Authors retain the copyright of this article.
This article is an open access article distributed under the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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