Modeling the effect of distancing and wearing of face masks on transmission of Covid-19 infection dynamics

The COVID-19 is an infection caused by corona virus which has been designated as pandemic in the word. In this paper, we proposed a model to study the effect of distancing and wearing of mask on transmission of Covid-19 infection dynamics. The invariant region of the model is established. The Covid-...

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Main Authors: Nurudeen O. Lasisi, Kolawole A. Adeyemo
Format: Article
Language:English
Published: JVE International 2021-06-01
Series:Journal of Complexity in Health Sciences
Subjects:
Online Access:https://www.jvejournals.com/article/21976
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spelling doaj-847be596cd704268a55191349a89e3ed2021-07-01T20:00:39ZengJVE InternationalJournal of Complexity in Health Sciences2538-79952538-80022021-06-0141102010.21595/chs.2021.2197621976Modeling the effect of distancing and wearing of face masks on transmission of Covid-19 infection dynamicsNurudeen O. Lasisi0Kolawole A. Adeyemo1Department of Statistics, Federal Polytechnic, Kaura Namoda, NigeriaDepartment of Computer Science and Mathematics, Nigeria Police Academy, Wudil, NigeriaThe COVID-19 is an infection caused by corona virus which has been designated as pandemic in the word. In this paper, we proposed a model to study the effect of distancing and wearing of mask on transmission of Covid-19 infection dynamics. The invariant region of the model is established. The Covid-19 free equilibrium and the reproduction number of the model were obtained. The local and global stability of the model is determined using linearization technique method and Lyapunov method. It was found that, Covid-19 free equilibrium state is locally asymptotically stable in feasible region Ω if R0<1 and globally asymptomatically stable if R0<1, otherwise unstable if R0>1. More so, numerical analysis and simulations of the dynamics of the Covid-19 infection are presented. It was found that as effectiveness of face mask usage increased it resulted in a decrease in secondary cases and as physical distancing is maintained shown reduction in reproduction number. It is also found that, as infection rate increases, it translated to increase in secondary cases and as number of isolation individual increases, it decreased the reproduction number. More so, varying the treatment rate, means as treatment rate increases, it shown that an individuals in the isolation decreases.https://www.jvejournals.com/article/21976distancingreproduction numberwearing of masklocal and global stabilitymodellingtransmission
collection DOAJ
language English
format Article
sources DOAJ
author Nurudeen O. Lasisi
Kolawole A. Adeyemo
spellingShingle Nurudeen O. Lasisi
Kolawole A. Adeyemo
Modeling the effect of distancing and wearing of face masks on transmission of Covid-19 infection dynamics
Journal of Complexity in Health Sciences
distancing
reproduction number
wearing of mask
local and global stability
modelling
transmission
author_facet Nurudeen O. Lasisi
Kolawole A. Adeyemo
author_sort Nurudeen O. Lasisi
title Modeling the effect of distancing and wearing of face masks on transmission of Covid-19 infection dynamics
title_short Modeling the effect of distancing and wearing of face masks on transmission of Covid-19 infection dynamics
title_full Modeling the effect of distancing and wearing of face masks on transmission of Covid-19 infection dynamics
title_fullStr Modeling the effect of distancing and wearing of face masks on transmission of Covid-19 infection dynamics
title_full_unstemmed Modeling the effect of distancing and wearing of face masks on transmission of Covid-19 infection dynamics
title_sort modeling the effect of distancing and wearing of face masks on transmission of covid-19 infection dynamics
publisher JVE International
series Journal of Complexity in Health Sciences
issn 2538-7995
2538-8002
publishDate 2021-06-01
description The COVID-19 is an infection caused by corona virus which has been designated as pandemic in the word. In this paper, we proposed a model to study the effect of distancing and wearing of mask on transmission of Covid-19 infection dynamics. The invariant region of the model is established. The Covid-19 free equilibrium and the reproduction number of the model were obtained. The local and global stability of the model is determined using linearization technique method and Lyapunov method. It was found that, Covid-19 free equilibrium state is locally asymptotically stable in feasible region Ω if R0<1 and globally asymptomatically stable if R0<1, otherwise unstable if R0>1. More so, numerical analysis and simulations of the dynamics of the Covid-19 infection are presented. It was found that as effectiveness of face mask usage increased it resulted in a decrease in secondary cases and as physical distancing is maintained shown reduction in reproduction number. It is also found that, as infection rate increases, it translated to increase in secondary cases and as number of isolation individual increases, it decreased the reproduction number. More so, varying the treatment rate, means as treatment rate increases, it shown that an individuals in the isolation decreases.
topic distancing
reproduction number
wearing of mask
local and global stability
modelling
transmission
url https://www.jvejournals.com/article/21976
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