Universal Journal of Mathematics and Mathematical Sciences
Volume 19, Issue 1, Pages 87 - 101
(September 2023) http://dx.doi.org/10.17654/2277141723018 |
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EXACT SOLUTION OF A FRACTIONAL MODEL OF THE DYNAMICS OF TWO COMPETING PREY-PREDATOR POPULATIONS USING THE SBA NUMERICAL METHOD
Jeremie Yiyureboula Bationo and Francis Bassono
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Abstract: In this paper, we use the SBA numerical method by applying Picard’s principle for solving a system of fractional equations. We first state the convergence of the SBA algorithm before proceeding to the search for the possible solution. A graphical representation of the solution for different values of the perturbation parameter and fractional parameter allows the behavior of the curve to be examined.
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Keywords and phrases: prey, predator, Lotka-Volterra, fractional, SBA method, Mittag-Leffler, Picard.
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