Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate
dc.contributor.author | Joshi, H | |
dc.contributor.author | Yavuz, M | |
dc.contributor.author | Townley, S | |
dc.contributor.author | Jha, BK | |
dc.date.accessioned | 2023-12-06T13:42:20Z | |
dc.date.issued | 2023-03-16 | |
dc.date.updated | 2023-12-06T13:20:31Z | |
dc.description.abstract | In this paper, a non-singular SIR model with the Mittag-Leffler law is proposed. The nonlinear Beddington-DeAngelis infection rate and Holling type II treatment rate are used. The qualitative properties of the SIR model are discussed in detail. The local and global stability of the model are analyzed. Moreover, some conditions are developed to guarantee local and global asymptotic stability. Finally, numerical simulations are provided to support the theoretical results and used to analyze the impact of face masks, social distancing, quarantine, lockdown, immigration, treatment rate of the disease, and limitation in treatment resources on COVID-19. The graphical results show that face masks, social distancing, quarantine, lockdown, immigration, and effective treatment rates significantly reduce the infected population over time. In contrast, limitation in the availability of treatment raises the infected population. | en_GB |
dc.description.sponsorship | TUBITAK (The Scientific and Technological Research Council of Türkiye) | en_GB |
dc.identifier.citation | Vol. 98, No. 4, article 045216 | en_GB |
dc.identifier.doi | https://doi.org/10.1088/1402-4896/acbe7a | |
dc.identifier.uri | http://hdl.handle.net/10871/134739 | |
dc.identifier | ORCID: 0000-0002-3966-6518 (Yavuz, Mehmet) | |
dc.identifier | ORCID: 0000-0003-3524-4526 (Townley, Stuart) | |
dc.language.iso | en | en_GB |
dc.publisher | IOP Publishing / Royal Swedish Academy of Sciences | en_GB |
dc.rights | © 2023 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. | en_GB |
dc.subject | SIR model | en_GB |
dc.subject | Beddington-DeAngelis infection rate | en_GB |
dc.subject | Holling type-II treatment rate | en_GB |
dc.subject | local and global stability | en_GB |
dc.subject | Mittag-Leffler law | en_GB |
dc.title | Stability analysis of a non-singular fractional-order covid-19 model with nonlinear incidence and treatment rate | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2023-12-06T13:42:20Z | |
dc.identifier.issn | 0031-8949 | |
exeter.article-number | 045216 | |
dc.description | This is the final version. Available on open access from IOP Publishing via the DOI in this record. | en_GB |
dc.description | Data availability statement: No new data were created or analysed in this study | en_GB |
dc.identifier.eissn | 1402-4896 | |
dc.identifier.journal | Physica Scripta | en_GB |
dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | en_GB |
dcterms.dateAccepted | 2023-02-23 | |
rioxxterms.version | VoR | en_GB |
rioxxterms.licenseref.startdate | 2023-03-16 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2023-12-06T13:35:24Z | |
refterms.versionFCD | VoR | |
refterms.dateFOA | 2023-12-06T13:43:38Z | |
refterms.panel | A | en_GB |
refterms.dateFirstOnline | 2023-03-16 |
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Except where otherwise noted, this item's licence is described as © 2023 The Author(s). Published by IOP Publishing Ltd. Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.