Fractal-Fractional SIRS Epidemic Model with Temporary Immunity Using Atangana-Baleanu Derivative
| dc.contributor.author | Okyere, Eric | |
| dc.contributor.author | Seidu, Baba | |
| dc.contributor.author | Nantomah, Kwara | |
| dc.contributor.author | Asamoah, Joshua Kiddy K. | |
| dc.contributor.orcid | 0000-0002-7066-246X | |
| dc.date.accessioned | 2024-11-20T11:26:07Z | |
| dc.date.available | 2024-11-20T11:26:07Z | |
| dc.date.issued | 2022-05 | |
| dc.description | This article is published by Commun. Math. Biol. Neurosci 2022 and is also available at https://doi.org/10.28919/cmbn/7516 | |
| dc.description.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. | |
| dc.description.sponsorship | KNUST | |
| dc.identifier.citation | Commun. Math. Biol. Neurosci., 2022:72. | |
| dc.identifier.uri | https://doi.org/10.28919/cmbn/7516 | |
| dc.identifier.uri | https://ir.knust.edu.gh/handle/123456789/15950 | |
| dc.language.iso | en | |
| dc.publisher | Commun. Math. Biol. Neurosci. | |
| dc.title | Fractal-Fractional SIRS Epidemic Model with Temporary Immunity Using Atangana-Baleanu Derivative | |
| dc.type | Article |