Z-Control on COVID-19-Exposed Patients in Quarantine

Z-Control on COVID-19-Exposed Patients in Quarantine

In this paper, a mathematical model for diabetic or hypertensive patients exposed to COVID-19 is formulated along with a set of first-order nonlinear differential equations. The system is said to exhibit two equilibria, namely, exposure-free and endemic points. The reproduction number is obtained fo...

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Main Authors: Nita H. Shah, Nisha Sheoran, Ekta Jayswal
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:International Journal of Differential Equations
Online Access:http://dx.doi.org/10.1155/2020/7876146
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spelling doaj-261664303deb455bb865cc889fe9bd252020-12-28T01:29:57ZengHindawi LimitedInternational Journal of Differential Equations1687-96512020-01-01202010.1155/2020/78761467876146Z-Control on COVID-19-Exposed Patients in QuarantineNita H. Shah0Nisha Sheoran1Ekta Jayswal2Department of MathematicsDepartment of MathematicsDepartment of MathematicsIn this paper, a mathematical model for diabetic or hypertensive patients exposed to COVID-19 is formulated along with a set of first-order nonlinear differential equations. The system is said to exhibit two equilibria, namely, exposure-free and endemic points. The reproduction number is obtained for each equilibrium point. Local stability conditions are derived for both equilibria, and global stability is studied for the endemic equilibrium point. This model is investigated along with Z-control in order to eliminate chaos and oscillation epidemiologically showing the importance of quarantine in the COVID-19 environment.http://dx.doi.org/10.1155/2020/7876146
collection DOAJ
language English
format Article
sources DOAJ
author Nita H. Shah
Nisha Sheoran
Ekta Jayswal
spellingShingle Nita H. Shah
Nisha Sheoran
Ekta Jayswal
Z-Control on COVID-19-Exposed Patients in Quarantine
International Journal of Differential Equations
author_facet Nita H. Shah
Nisha Sheoran
Ekta Jayswal
author_sort Nita H. Shah
title Z-Control on COVID-19-Exposed Patients in Quarantine
title_short Z-Control on COVID-19-Exposed Patients in Quarantine
title_full Z-Control on COVID-19-Exposed Patients in Quarantine
title_fullStr Z-Control on COVID-19-Exposed Patients in Quarantine
title_full_unstemmed Z-Control on COVID-19-Exposed Patients in Quarantine
title_sort z-control on covid-19-exposed patients in quarantine
publisher Hindawi Limited
series International Journal of Differential Equations
issn 1687-9651
publishDate 2020-01-01
description In this paper, a mathematical model for diabetic or hypertensive patients exposed to COVID-19 is formulated along with a set of first-order nonlinear differential equations. The system is said to exhibit two equilibria, namely, exposure-free and endemic points. The reproduction number is obtained for each equilibrium point. Local stability conditions are derived for both equilibria, and global stability is studied for the endemic equilibrium point. This model is investigated along with Z-control in order to eliminate chaos and oscillation epidemiologically showing the importance of quarantine in the COVID-19 environment.
url http://dx.doi.org/10.1155/2020/7876146
work_keys_str_mv AT nitahshah zcontroloncovid19exposedpatientsinquarantine
AT nishasheoran zcontroloncovid19exposedpatientsinquarantine
AT ektajayswal zcontroloncovid19exposedpatientsinquarantine
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