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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African Journal of Mathematics and Statistics Studies

Vol. 7Issue 42024pp. 226–247Published 15 November 2024

DOI 10.52589/AJMSS-QRLVVI9E

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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 Difference Herbal Malaria Runge-kutta Uncomplicated.

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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.