Fractal-fractional SIRS epidemic model with temporary immunity using Atangana-Baleanu derivative

Eric Okyere, Baba Seidu, Kwara Nantomah, Joshua Kiddy K. Asamoah

Abstract


The basic SIRS deterministic model is one of the powerful and important compartmental modeling frameworks that serve as the foundation for a variety of epidemiological models and investigations. In this study, a nonlinear Atangana-Baleanu fractal-fractional SIRS epidemiological model is proposed and analysed. The model’s equilibrium points (disease-free and endemic) are studied for local asymptotic stability. The existence of the model’s solution and its uniqueness, as well as the Hyers-Ulam stability analysis, are established. Numerical solutions and phase portraits for the fractal-fractional model are generated using a recently constructed and effective Newton polynomial-based iterative scheme for nonlinear dynamical fractal-fractional model problems. Our numerical simulations demonstrate that fractal-fractional dynamic modeling is a very useful and appropriate mathematical modeling tool for developing and studying epidemiological models.

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Published: 2022-08-01

How to Cite this Article:

Eric Okyere, Baba Seidu, Kwara Nantomah, Joshua Kiddy K. Asamoah, Fractal-fractional SIRS epidemic model with temporary immunity using Atangana-Baleanu derivative, Commun. Math. Biol. Neurosci., 2022 (2022), Article ID 72

Copyright © 2022 Eric Okyere, Baba Seidu, Kwara Nantomah, Joshua Kiddy K. Asamoah. 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.

Commun. Math. Biol. Neurosci.

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