Modeling the dynamics of novel coronavirus (COVID-19) via stochastic epidemic model

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dc.contributor.authorHussain, Ghulam
dc.contributor.authorKhan, Tahir
dc.contributor.authorKhan, Amir
dc.contributor.authorInc, Mustafa
dc.contributor.authorZaman, Gul
dc.contributor.authorNisar, Kottakkaran Sooppy
dc.contributor.authorAkgul, Ali
dc.date.accessioned2024-12-24T19:25:10Z
dc.date.available2024-12-24T19:25:10Z
dc.date.issued2021
dc.departmentSiirt Üniversitesi
dc.description.abstractNovel coronavirus disease is a burning issue all over the world. Spreading of the novel coronavirus having the characteristic of rapid transmission whenever the air molecules or the freely existed virus includes in the surrounding and therefore the spread of virus follows a stochastic process instead of deterministic. We assume a stochastic model to investigate the transmission dynamics of the novel coronavirus. To do this, we formulate the model according to the charectersitics of the corona virus disease and then prove the existence as well as the uniqueness of the global positive solution to show the well posed-ness and feasibility of the problem. Following the theory of dynamical systems as well as by constructing a suitable stochastic Lyapunov function, we establish sufficient conditions of the extinction and the existence of stationary distribution. Finally, we carry out the large scale numerical simulations to demonstrate the verification of our analytical results. (C) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University.
dc.identifier.doi10.1016/j.aej.2021.02.036
dc.identifier.endpage4130
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85102389084
dc.identifier.scopusqualityQ1
dc.identifier.startpage4121
dc.identifier.urihttps://doi.org/10.1016/j.aej.2021.02.036
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6301
dc.identifier.volume60
dc.identifier.wosWOS:000637520600018
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectStochastic model
dc.subjectCoronavirus disease
dc.subjectExistence and uniqueness
dc.subjectExtinction
dc.subjectStationery distribution
dc.titleModeling the dynamics of novel coronavirus (COVID-19) via stochastic epidemic model
dc.typeArticle

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