Volume 3, Issue 3, September 2018, Page: 43-48
Mathematical Integration for Solving Biological Growth in Fish Lake Problem Using Gompertz Approach
Samuel Olukayode Ayinde, Department of Mathematics, Faculty of Science, Ekiti State University, Ado Ekiti, Nigeria
Roseline Bosede Ogunrinde, Department of Mathematics, Faculty of Science, Ekiti State University, Ado Ekiti, Nigeria
Received: Jul. 6, 2018;       Accepted: Aug. 3, 2018;       Published: Aug. 31, 2018
DOI: 10.11648/j.bsi.20180303.11      View  353      Downloads  19
Abstract
A lake is classified as a body of relatively still water that is almost completely surrounded by land with a river or stream that feeds into it or drains from it. A lake that has fish that you can catch can either be man-made or natural, with natural lakes tending to have more successful results. In this research, an interpolating function was proposed following Gompertz function approach considering the scale and shape parameters, a Numerical Method was developed and applied to solve the biological fish lake stocking and growth problem which gives effective results as when Gompertz equation was used directly. Numerical method is an effective tool to solve the problem of growth as its applicable in Gompertz equation. The method results obtained found to be favourable when the Numerical Solution and Analytical Solution is compared as the error obtained is minimal showing the effectiveness of the Method. Gompertz Function or equation was for long of interest only to actuaries and demographics. Its however, recently been used by various authors as a growth curve or function both for biological, economics and Management phenomena. Therefore, we have been able to show how the numerical integration obtained from the interpolating function work the same way Gompertz function worked.
Keywords
Gompertz Equation, Mathematical Integration, Logistic Growth, Carrying Capacity
To cite this article
Samuel Olukayode Ayinde, Roseline Bosede Ogunrinde, Mathematical Integration for Solving Biological Growth in Fish Lake Problem Using Gompertz Approach, Biomedical Statistics and Informatics. Vol. 3, No. 3, 2018, pp. 43-48. doi: 10.11648/j.bsi.20180303.11
Copyright
Copyright © 2018 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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