A robust study on the listeriosis disease by adopting fractal-fractional operators

A robust study on the listeriosis disease by adopting fractal-fractional operators

Listeriosis is one of the zoonotic diseases affecting most parts of the Sub-Saharan countries. The infection is often transmitted by eating and it can also pass by respiratory and direct contact. In this paper, a listeriosis mathematical model is formulated involving fractal-fractional orders in bot...

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Autores principales: Ebenezer Bonyah, Mehmet Yavuz, Dumitru Baleanu, Sunil Kumar
Formato: article
Lenguaje:EN
Publicado: Elsevier 2022
Materias:
Listeriosis model
Mittag–Leffler kernel
Power kernel
Fractal-Fractional operators
Stability analysis
Disease-free equilibrium
Engineering (General). Civil engineering (General)
TA1-2040
Acceso en línea:https://doaj.org/article/adef4592bc14419399ad5024bab0155f
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spelling oai:doaj.org-article:adef4592bc14419399ad5024bab0155f2021-11-30T04:13:48ZA robust study on the listeriosis disease by adopting fractal-fractional operators1110-016810.1016/j.aej.2021.07.010https://doaj.org/article/adef4592bc14419399ad5024bab0155f2022-03-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004737https://doaj.org/toc/1110-0168Listeriosis is one of the zoonotic diseases affecting most parts of the Sub-Saharan countries. The infection is often transmitted by eating and it can also pass by respiratory and direct contact. In this paper, a listeriosis mathematical model is formulated involving fractal-fractional orders in both Caputo and Atangana–Baleanu derivatives. Moreover, future behaviors of the disease are investigated by considering the fractal–fractional operators that are very effective in modeling the real-life phenomena by virtue of their memory effect. The basic properties and steady states are also obtained. The threshold parameter for determining the spread of the disease is computed. Numerical results are presented for each fractal-fractional-order operator. The results obtained in the paper show that the numerical schemes are effective for predicting and analyzing complex phenomena.Ebenezer BonyahMehmet YavuzDumitru BaleanuSunil KumarElsevierarticleListeriosis modelMittag–Leffler kernelPower kernelFractal-Fractional operatorsStability analysisDisease-free equilibriumEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 3, Pp 2016-2028 (2022)
institution DOAJ
collection DOAJ
language EN
topic Listeriosis model
Mittag–Leffler kernel
Power kernel
Fractal-Fractional operators
Stability analysis
Disease-free equilibrium
Engineering (General). Civil engineering (General)
TA1-2040
spellingShingle Listeriosis model
Mittag–Leffler kernel
Power kernel
Fractal-Fractional operators
Stability analysis
Disease-free equilibrium
Engineering (General). Civil engineering (General)
TA1-2040
Ebenezer Bonyah
Mehmet Yavuz
Dumitru Baleanu
Sunil Kumar
A robust study on the listeriosis disease by adopting fractal-fractional operators
description Listeriosis is one of the zoonotic diseases affecting most parts of the Sub-Saharan countries. The infection is often transmitted by eating and it can also pass by respiratory and direct contact. In this paper, a listeriosis mathematical model is formulated involving fractal-fractional orders in both Caputo and Atangana–Baleanu derivatives. Moreover, future behaviors of the disease are investigated by considering the fractal–fractional operators that are very effective in modeling the real-life phenomena by virtue of their memory effect. The basic properties and steady states are also obtained. The threshold parameter for determining the spread of the disease is computed. Numerical results are presented for each fractal-fractional-order operator. The results obtained in the paper show that the numerical schemes are effective for predicting and analyzing complex phenomena.
format article
author Ebenezer Bonyah
Mehmet Yavuz
Dumitru Baleanu
Sunil Kumar
author_facet Ebenezer Bonyah
Mehmet Yavuz
Dumitru Baleanu
Sunil Kumar
author_sort Ebenezer Bonyah
title A robust study on the listeriosis disease by adopting fractal-fractional operators
title_short A robust study on the listeriosis disease by adopting fractal-fractional operators
title_full A robust study on the listeriosis disease by adopting fractal-fractional operators
title_fullStr A robust study on the listeriosis disease by adopting fractal-fractional operators
title_full_unstemmed A robust study on the listeriosis disease by adopting fractal-fractional operators
title_sort robust study on the listeriosis disease by adopting fractal-fractional operators
publisher Elsevier
publishDate 2022
url https://doaj.org/article/adef4592bc14419399ad5024bab0155f
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