Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And Vaccination
In this study, an epidemic mathematical model for Omicron, denoted as B.1.1.529 SARS-Cov-2 Variant, is constructed. Covid-19 vaccines are considered here to ensure the host population’s safety across the model. The fundamentals of positivity and boundedness in this model have been investigated and v...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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De Gruyter
2022-12-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2022-0158 |
| _version_ | 1811159374619475968 |
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| author | Dickson S. Padmasekaran S. Chatzarakis G. E. |
| author_facet | Dickson S. Padmasekaran S. Chatzarakis G. E. |
| author_sort | Dickson S. |
| collection | DOAJ |
| description | In this study, an epidemic mathematical model for Omicron, denoted as B.1.1.529 SARS-Cov-2 Variant, is constructed. Covid-19 vaccines are considered here to ensure the host population’s safety across the model. The fundamentals of positivity and boundedness in this model have been investigated and validated. The reproduction number was calculated to determine whether or not the disease would spread further in Tamilnadu. Infection-free steady-state solutions that exist are asymptotically stable locally when R0 < 1 and globally when R0 > 1. Also Infection-present steady-state solutions that are locally stable are discovered when R0 < 1. Finally, the current Omicron variant pandemic data from Tamilnadu, India, is validated. |
| first_indexed | 2024-04-10T05:41:05Z |
| format | Article |
| id | doaj.art-7ba288cc1866483797ecf8d216e942a7 |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-04-10T05:41:05Z |
| publishDate | 2022-12-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-7ba288cc1866483797ecf8d216e942a72023-03-06T10:26:17ZengDe GruyterNonautonomous Dynamical Systems2353-06262022-12-019129030610.1515/msds-2022-0158Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And VaccinationDickson S.0Padmasekaran S.1Chatzarakis G. E.2Mathematics, Periyar University, Periyar Palkalai Nagar, Salem, 636011, Tamilnadu, IndiaMathematics, Periyar University, Periyar Palkalai Nagar, Salem, 636011, Tamilnadu, IndiaElectrical and Electronic Engineering Educators, School of Pedagogical and Technological Education (ASPETE), Marousi 15122, Athens, GreeceIn this study, an epidemic mathematical model for Omicron, denoted as B.1.1.529 SARS-Cov-2 Variant, is constructed. Covid-19 vaccines are considered here to ensure the host population’s safety across the model. The fundamentals of positivity and boundedness in this model have been investigated and validated. The reproduction number was calculated to determine whether or not the disease would spread further in Tamilnadu. Infection-free steady-state solutions that exist are asymptotically stable locally when R0 < 1 and globally when R0 > 1. Also Infection-present steady-state solutions that are locally stable are discovered when R0 < 1. Finally, the current Omicron variant pandemic data from Tamilnadu, India, is validated.https://doi.org/10.1515/msds-2022-0158omicronquarantinelocal stabilityvaccinationreproduction numbersteady statesglobal stability37n25 |
| spellingShingle | Dickson S. Padmasekaran S. Chatzarakis G. E. Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And Vaccination Nonautonomous Dynamical Systems omicron quarantine local stability vaccination reproduction number steady states global stability 37n25 |
| title | Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And Vaccination |
| title_full | Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And Vaccination |
| title_fullStr | Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And Vaccination |
| title_full_unstemmed | Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And Vaccination |
| title_short | Stability Analysis of B.1.1.529 SARS-Cov-2 Omicron Variant Mathematical Model: The Impacts Of Quarantine And Vaccination |
| title_sort | stability analysis of b 1 1 529 sars cov 2 omicron variant mathematical model the impacts of quarantine and vaccination |
| topic | omicron quarantine local stability vaccination reproduction number steady states global stability 37n25 |
| url | https://doi.org/10.1515/msds-2022-0158 |
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