A Non-Standard Finite Difference Discretization Scheme Applied to a Malaria Model.

Robert Folorunsho Akerejola (Ph.D.); Elakhe O. A.; Isere A. O.

doi:10.52589/AJMSS-QRLVVI9E

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A Non-Standard Finite Difference Discretization Scheme Applied to a Malaria Model.

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Publication Date: 2024-11-15

DOI: 10.52589/AJMSS-QRLVVI9E

Volume/Issue: Volume 7, Issue 4 (2024)

Page No: 226 - 247

Journal: African Journal of Mathematics and Statistics Studies

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Abstract:

In this research work, a dynamically consistent non-standard finite difference (NSFD) scheme is developed to solve a continuous-time model of malaria transmission with herbal medicine as control strategy. We compared results from NSFD scheme with the standard finite difference methods (4th order Runge-kutta and forward Euler methods). The numerical investigation showed that the proposed NSFD method remains consistent, preserves the positivity of solutions and converges to true equilibrium points of the continuous model independent of the step size h.

Keywords:Non-Standard Finite DifferenceHerbalMalariaRunge-kuttaUncomplicated.

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Copyrights

Authors retain copyright in their articles and have unrestricted rights to reuse, republish, archive, share, and distribute their work after publication.
All articles are published open access under the Creative Commons Attribution 4.0 International (CC BY 4.0) licence, which permits use, sharing, adaptation, distribution, and reproduction in any medium or format, including for commercial purposes, provided appropriate credit is given to the original author(s) and source.