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: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2020-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2020/7876146 |
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| _version_ | 1832552552368963584 |
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| author | Nita H. Shah Nisha Sheoran Ekta Jayswal |
| author_facet | Nita H. Shah Nisha Sheoran Ekta Jayswal |
| author_sort | Nita H. Shah |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-261664303deb455bb865cc889fe9bd25 |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-261664303deb455bb865cc889fe9bd252025-02-03T05:58:22ZengWileyInternational Journal of Differential Equations1687-96431687-96512020-01-01202010.1155/2020/78761467876146Z-Control on COVID-19-Exposed Patients in QuarantineNita H. Shah0Nisha Sheoran1Ekta Jayswal2Department of Mathematics, Gujarat University, Ahmedabad, Gujarat, IndiaDepartment of Mathematics, Gujarat University, Ahmedabad, Gujarat, IndiaDepartment of Mathematics, Gujarat University, Ahmedabad, Gujarat, IndiaIn 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 |
| spellingShingle | Nita H. Shah Nisha Sheoran Ekta Jayswal Z-Control on COVID-19-Exposed Patients in Quarantine International Journal of Differential Equations |
| title | 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_short | Z-Control on COVID-19-Exposed Patients in Quarantine |
| title_sort | z control on covid 19 exposed patients in quarantine |
| url | http://dx.doi.org/10.1155/2020/7876146 |
| work_keys_str_mv | AT nitahshah zcontroloncovid19exposedpatientsinquarantine AT nishasheoran zcontroloncovid19exposedpatientsinquarantine AT ektajayswal zcontroloncovid19exposedpatientsinquarantine |