Fractional–Order Modeling and Control of COVID-19 with Shedding Effect-Reference-Cited by-同舟云学术

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

Published:2023-03-24 Issue:4 Volume:12 Page:321
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Baba Isa A.¹²^ORCID,Humphries Usa W.²,Rihan Fathalla A.³⁴^ORCID,Valdés J. E. N.⁵^ORCID

Affiliation:

1. Department of Mathematics, Bayero University, Kano 700241, Nigeria

2. Department of Mathematics, Faculty of Science, King Mongkuts University of Science and Technology Thonburi (KMUTT), Bangkok 10140, Thailand

3. Department of Mathematical Sciences, College of Science, UAE University, Al Ain 15551, United Arab Emirates

4. Department of Mathematics, Faculty of Science, Helwan University, Cairo 11795, Egypt

5. Facultad de Ciencias Exactas y Naturales y Agrimensura, Universidad Nacional del Nordeste, Corrientes Capital 3400, Argentina

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.

Funder

King Mongkut's University of Technology Thonburi

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Link

https://www.mdpi.com/2075-1680/12/4/321/pdf

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