Comparative analysis of Lotka-Volterra type models with numerical methods using residuals in Mathematica

A.A. Adeniji, S.E. Fadugba, M.Y. Shatalov

Abstract


This paper details the approximate solution to the Lotka-Volterra type models with no closed-form by employing the use of two numerical techniques; Runge-Kutta Fehlberg and the 4-stage Runge-Kutta method. From the numerical techniques used, a comparative analysis is carried out, and an approximate solution is obtained. Two cases were considered, case 1 details on indistinguishable graphs but different numerical values (not enough to conclude on the efficient technique) are obtained using the two techniques and while case 2 shows that both numerical techniques give same graphical representation and numerical values, hence this necessitate the reason for this investigation; by so doing the log-plots and residuals was introduced to obtain the most effective and efficient technique under such condition.

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Published: 2022-06-01

How to Cite this Article:

A.A. Adeniji, S.E. Fadugba, M.Y. Shatalov, Comparative analysis of Lotka-Volterra type models with numerical methods using residuals in Mathematica, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 49

Copyright © 2022 A.A. Adeniji, S.E. Fadugba, M.Y. Shatalov. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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