Fractional–Order Modeling and Control of COVID-19 with Shedding Effect

Isa A. Baba; Usa W. Humphries; Fathalla A. Rihan; J. E.N. Valdés

doi:10.3390/axioms12040321

Fractional–Order Modeling and Control of COVID-19 with Shedding Effect

Isa A. Baba, Usa W. Humphries, Fathalla A. Rihan, J. E.N. Valdés

Department of Mathematical Sciences

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Article number	321
Journal	Axioms
Volume	12
Issue number	4
DOIs	https://doi.org/10.3390/axioms12040321
Publication status	Published - Apr 2023

Keywords

COVID-19
Caputo
fractional order
mathematical model
optimal control
shedding effect

ASJC Scopus subject areas

Analysis
Algebra and Number Theory
Mathematical Physics
Logic
Geometry and Topology

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10.3390/axioms12040321

Cite this

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title = "Fractional–Order Modeling and Control of COVID-19 with Shedding Effect",

abstract = "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.",

keywords = "COVID-19, Caputo, fractional order, mathematical model, optimal control, shedding effect",

author = "Baba, {Isa A.} and Humphries, {Usa W.} and Rihan, {Fathalla A.} and Vald{\'e}s, {J. E.N.}",

note = "Funding Information: This research was supported by King Mongkut{\textquoteright}s University of Science and Technology Thonburi{\textquoteright}s Postdoctoral Fellowship. Publisher Copyright: {\textcopyright} 2023 by the authors.",

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AB - 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.

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KW - optimal control

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Fractional–Order Modeling and Control of COVID-19 with Shedding Effect

Abstract

Keywords

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