Mathematical modelling of COVID-19 outbreak using caputo fractional derivative: stability analysis

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dc.contributor.authorUl Haq, Ihtisham
dc.contributor.authorAli, Nigar
dc.contributor.authorBariq, Abdul
dc.contributor.authorAkgul, Ali
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorBayram, Mustafa
dc.date.accessioned2024-12-24T19:28:27Z
dc.date.available2024-12-24T19:28:27Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe novel coronavirus SARS-Cov-2 is a pandemic condition and poses a massive menace to health. The governments of different countries and their various prohibitory steps to restrict the virus's expanse have changed individuals' communication processes. Due to physical and financial factors, the population's density is more likely to interact and spread the virus. We establish a mathematical model to present the spread of the COVID-19 in worldwide. In this article, we propose a novel mathematical model (' $ \mathbb {S}\mathbb {L}\mathbb {I}\mathbb {I}_{q}\mathbb {I}_{h}\mathbb {R}\mathbb {P} $ SLIIqIhRP') to assess the impact of using hospitalization, quarantine measures, and pathogen quantity in controlling the COVID-19 pandemic. We analyse the boundedness of the model's solution by employing the Laplace transform approach to solve the fractional Gronwall's inequality. To ensure the uniqueness and existence of the solution, we rely on the Picard-Lindelof theorem. The model's basic reproduction number, a crucial indicator of epidemic potential, is determined based on the greatest eigenvalue of the next-generation matrix. We then employ stability theory of fractional differential equations to qualitatively examine the model. Our findings reveal that both locally and globally, the endemic equilibrium and disease-free solutions demonstrate symptomatic stability. These results shed light on the effectiveness of the proposed interventions in managing and containing the COVID-19 outbreak.
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University, Abha, Saudi Arabia [RGP.2/27/44]
dc.description.sponsorshipThis research was funded by Deanship of Scientific Research at King Khalid University, Abha, Saudi Arabia, Project under Grant Number RGP.2/27/44.
dc.identifier.doi10.1080/27690911.2024.2326982
dc.identifier.issn2769-0911
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85188506036
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1080/27690911.2024.2326982
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7061
dc.identifier.volume32
dc.identifier.wosWOS:001189345600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofApplied Mathematics in Science and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectCaputo fractional derivatives
dc.subjectKarsnosels'kil's fixed point theorem
dc.subjectArzela Ascoli theorem
dc.subjectLyapunov function technique
dc.subjecttrace-determinant approach
dc.titleMathematical modelling of COVID-19 outbreak using caputo fractional derivative: stability analysis
dc.typeArticle

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