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A New Fixed Point Iterative Scheme Applied to the Dynamics of an Ebola Delayed Epidemic Model

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  • Godwin Amechi Okeke

    (Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P.M.B. 1526 Owerri, Imo State, Nigeria)

  • Rubayyi T. Alqahtani

    (Department of Mathematics and Statistics, College of Science, Imam Mohammad Ibn Saud Islamic University, Riyadh P.O. Box 90950, Saudi Arabia)

  • Ebube Henry Anozie

    (Functional Analysis and Optimization Research Group Laboratory (FANORG), Department of Mathematics, School of Physical Sciences, Federal University of Technology Owerri, P.M.B. 1526 Owerri, Imo State, Nigeria)

Abstract

In this paper, we introduce a fast iterative scheme and establish its convergence under a contractive condition. This new scheme can be viewed as an extension and generalization of existing iterative schemes such as Picard–Noor and UO iterative schemes for solving nonlinear equations. We demonstrate theoretically and numerically that the new scheme converges faster than several existing iterative schemes with the fastest known convergence rates for contractive mappings. We also analyze the stability of the new scheme and provide numerical computations to validate the analytic results. Finally, we implement the new scheme in MATLAB R2023b to simulate the dynamics of the Ebola virus disease.

Suggested Citation

  • Godwin Amechi Okeke & Rubayyi T. Alqahtani & Ebube Henry Anozie, 2025. "A New Fixed Point Iterative Scheme Applied to the Dynamics of an Ebola Delayed Epidemic Model," Mathematics, MDPI, vol. 13(11), pages 1-19, May.
    • Handle: RePEc:gam:jmathe:v:13:y:2025:i:11:p:1764-:d:1664678
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    References listed on IDEAS

    as
    1. Godwin Amechi Okeke & Akanimo Victor Udo & Nadiyah Hussain Alharthi & Rubayyi T. Alqahtani, 2024. "A New Robust Iterative Scheme Applied in Solving a Fractional Diffusion Model for Oxygen Delivery via a Capillary of Tissues," Mathematics, MDPI, vol. 12(9), pages 1-30, April.
    2. Khan, Aziz & Gómez-Aguilar, J.F. & Saeed Khan, Tahir & Khan, Hasib, 2019. "Stability analysis and numerical solutions of fractional order HIV/AIDS model," Chaos, Solitons & Fractals, Elsevier, vol. 122(C), pages 119-128.
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