Fractional–order modeling and control of COVID-19 with shedding effect

A fractional order COVID-19 model consisting of six compartments in Caputo sense is constructed. The indirect transmission of the virus through susceptible populations by the shedding effect is studied. Equilibrium solutions are calculated, and basic reproduction ratio (that depends both on direc...

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Autores principales: Baba, Isa Abdullahi, Humphries, Usa Wannasingha, Rihan, Fathalla Ali, Nápoles Valdés, Juan Eduardo
Formato: Artículo
Lenguaje:Inglés
Publicado: MDPI AG 2026
Materias:
Mathematical model
Fractional order
Caputo
Optimal control
Shedding effect
COVID-19
Acceso en línea:http://repositorio.unne.edu.ar/handle/123456789/60051
Aporte de:
RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE) de Universidad Nacional del Nordeste
id I48-R184-123456789-60051
record_format dspace
spelling I48-R184-123456789-600512026-02-13T10:02:46Z Fractional–order modeling and control of COVID-19 with shedding effect Baba, Isa Abdullahi Humphries, Usa Wannasingha Rihan, Fathalla Ali Nápoles Valdés, Juan Eduardo Mathematical model Fractional order Caputo Optimal control Shedding effect COVID-19 A fractional order COVID-19 model consisting of six compartments in Caputo sense is constructed. The indirect transmission of the virus through susceptible populations by the shedding effect is studied. Equilibrium solutions are calculated, and basic reproduction ratio (that depends both on direct and indirect mode of transmission), existence and uniqueness, as well as stability analysis of the solution of the model, are studied. The paper studies the effect of optimal control policy applied to shedding effect. The control is the observation of standard hygiene practices and chemical disinfectants in public spaces. Numerical simulations are carried out to support the analytic result and to show the significance of the fractional order from the biological viewpoint. 2026-02-12T20:28:47Z 2026-02-12T20:28:47Z 2023 Artículo Baba, Isa Abdullahi, et al., 2023. Fractional–order modeling and control of COVID-19 with shedding effect. Axioms. Basel: MDPI AG, vol. 12, no. 4, p. 1-22. E-SSN 2075-1680 http://repositorio.unne.edu.ar/handle/123456789/60051 eng https://doi.org/10.3390/axioms12040321 https://www.mdpi.com/2075-1680/12/4/321 openAccess http://creativecommons.org/licenses/by-nc-nd/2.5/ar/ application/pdf p. 1-22 application/pdf MDPI AG Axioms, 2023, vol. 12, no. 4, p. 1-22.
institution Universidad Nacional del Nordeste
institution_str I-48
repository_str R-184
collection RIUNNE - Repositorio Institucional de la Universidad Nacional del Nordeste (UNNE)
language Inglés
topic Mathematical model
Fractional order
Caputo
Optimal control
Shedding effect
COVID-19
spellingShingle Mathematical model
Fractional order
Caputo
Optimal control
Shedding effect
COVID-19
Baba, Isa Abdullahi
Humphries, Usa Wannasingha
Rihan, Fathalla Ali
Nápoles Valdés, Juan Eduardo
Fractional–order modeling and control of COVID-19 with shedding effect
topic_facet Mathematical model
Fractional order
Caputo
Optimal control
Shedding effect
COVID-19
description A fractional order COVID-19 model consisting of six compartments in Caputo sense is constructed. The indirect transmission of the virus through susceptible populations by the shedding effect is studied. Equilibrium solutions are calculated, and basic reproduction ratio (that depends both on direct and indirect mode of transmission), existence and uniqueness, as well as stability analysis of the solution of the model, are studied. The paper studies the effect of optimal control policy applied to shedding effect. The control is the observation of standard hygiene practices and chemical disinfectants in public spaces. Numerical simulations are carried out to support the analytic result and to show the significance of the fractional order from the biological viewpoint.
format Artículo
author Baba, Isa Abdullahi
Humphries, Usa Wannasingha
Rihan, Fathalla Ali
Nápoles Valdés, Juan Eduardo
author_facet Baba, Isa Abdullahi
Humphries, Usa Wannasingha
Rihan, Fathalla Ali
Nápoles Valdés, Juan Eduardo
author_sort Baba, Isa Abdullahi
title Fractional–order modeling and control of COVID-19 with shedding effect
title_short Fractional–order modeling and control of COVID-19 with shedding effect
title_full Fractional–order modeling and control of COVID-19 with shedding effect
title_fullStr Fractional–order modeling and control of COVID-19 with shedding effect
title_full_unstemmed Fractional–order modeling and control of COVID-19 with shedding effect
title_sort fractional–order modeling and control of covid-19 with shedding effect
publisher MDPI AG
publishDate 2026
url http://repositorio.unne.edu.ar/handle/123456789/60051
work_keys_str_mv AT babaisaabdullahi fractionalordermodelingandcontrolofcovid19withsheddingeffect
AT humphriesusawannasingha fractionalordermodelingandcontrolofcovid19withsheddingeffect
AT rihanfathallaali fractionalordermodelingandcontrolofcovid19withsheddingeffect
AT napolesvaldesjuaneduardo fractionalordermodelingandcontrolofcovid19withsheddingeffect
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