Numerical Simulation of Biodiversity Loss:
Comparison of Numerical Methods

Godspower C. Abanum; Charles O. Omoregbe; Enu-Obari. N. Ekakaa

doi:https://doi.org/10.14445/22315373/IJMTT-V66I3P508

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 3 | Year 2020 | Article Id. IJMTT-V66I3P508 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I3P508

Numerical Simulation of Biodiversity Loss: Comparison of Numerical Methods

Godspower C. Abanum, Charles O. Omoregbe, Enu-Obari. N. Ekakaa

Abstract

The dependent variable called Normal Agriculture changes as the independent variable time changes that is the yields of a normal agriculture variable changes deterministically as the length of the growing season changes when all the model parameter values are fixed. However, when the model parameter values 𝛼1 𝑎𝑛𝑑 𝛼2are decrease, the normal agricultural variable also changes. By comparing the patterns of growth in these two interacting normal agricultural data, we have finite instance of biodiversity due to the application of four numerical methods such as ODE45, ODE23, ODE23tb and ODE15s. We have found the numerical prediction upon using these four numerical methods which are similar and robust, hence we have considered ODE45 numerical simulation to be computationally more efficient than the other three methods. The novel result we have obtained in this study have not been seen elsewhere. These are presented and discussed quantitatively.

Keywords

ODE45,ODE23, ODE23tb, ODE15s, Normal Agriculture

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Citation :

Godspower C. Abanum, Charles O. Omoregbe, Enu-Obari. N. Ekakaa, "Numerical Simulation of Biodiversity Loss: Comparison of Numerical Methods," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 3, pp. 53-64, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I3P508