STUDY OF INTEGER AND FRACTIONAL ORDER COVID-19 MATHEMATICAL MODEL

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dc.contributor.authorRujira Ouncharoen
dc.contributor.authorKamal Shah
dc.contributor.authorRahim Ud Din
dc.contributor.authorThabet Abdeljawad
dc.contributor.authorA.L.I. Ahmadian
dc.contributor.authorSoheil Salahshour
dc.contributor.authorThanin Sitthiwirattham
dc.contributor.correspondenceT. Abdeljawad; Department of Mathematics and Sciences, Prince Sultan University, Riyadh, 11586, Saudi Arabia; email: tabdeljawad@psu.edu.sa
dc.date.accessioned2025-03-10T07:34:45Z
dc.date.available2025-03-10T07:34:45Z
dc.date.issued2023
dc.description.abstractIn this paper, we study a nonlinear mathematical model which addresses the transmission dynamics of COVID-19. The considered model consists of susceptible (S), exposed (E), infected (I), and recovered (R) individuals. For simplicity, the model is abbreviated as SEIR. Immigration rates of two kinds are involved in susceptible and infected individuals. First of all, the model is formulated. Then via classical analysis, we investigate its local and global stability by using the Jacobian matrix and Lyapunov function method. Further, the fundamental reproduction number R0 is computed for the said model. Then, we simulate the model through the Runge-Kutta method of order two abbreviated as RK2. Finally, we switch over to the fractional order model and investigate its numerical simulations corresponding to different fractional orders by using the fractional order version of the aforementioned numerical method. Finally, graphical presentations are given for the approximate solution of various compartments of the proposed model. Also, a comparison with real data has been shown. © 2023 The Author(s).
dc.identifier.citationFractals
dc.identifier.doi10.1142/S0218348X23400467
dc.identifier.issn0218348X
dc.identifier.scopus2-s2.0-85157977181
dc.identifier.urihttps://repository.dusit.ac.th//handle/123456789/4576
dc.languageEnglish
dc.publisherWorld Scientific
dc.rightsAll Open Access; Hybrid Gold Open Access
dc.rights.holderScopus
dc.subjectDynamical System
dc.subjectFractional Order RK2 Method
dc.subjectGlobal Stability
dc.subjectLyapunov Function
dc.subjectThe Basic Reproduction Number
dc.titleSTUDY OF INTEGER AND FRACTIONAL ORDER COVID-19 MATHEMATICAL MODEL
dc.typeArticle
mods.location.urlhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-85157977181&doi=10.1142%2fS0218348X23400467&partnerID=40&md5=f00ed45375c3ed34c380b4b06fd22e2d
oaire.citation.issue4
oaire.citation.volume31
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