A chaos study of fractional SIR epidemic model of childhood diseases

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dc.contributor.authorMomani, Shaher
dc.contributor.authorKumar, Ranbir
dc.contributor.authorSrivastava, H.M.
dc.contributor.authorKumar, Sunil
dc.contributor.authorHadid, Samir
dc.date.accessioned2021-07-06T22:23:08Z
dc.date.available2021-07-06T22:23:08Z
dc.date.copyright2021en_US
dc.date.issued2021
dc.description.abstractModels of bio-mathematics are experimental systems that recreate aspects of human tissue function, diseases or virus. In this research, a new operational matrix based on the Laguerre wavelets is introduced for a arbitraryorder susceptible-infected-recovered (SIR) epidemic dynamical system of childhood diseases. An exact mechanism for the Riemann–Liouville arbitrary integral operator for the Laguerre wavelets is explained where the arbitrary-order derivative is assumed in the Liouville-Caputo style. Further, we use this operational matrix to convert the given dispute into a system of algebraic equations. The chaotic attractors for fractional-order SIR dynamical model are illustrated graphically by adopting the Adams–Bashforth-Moulton (ABM) scheme. Numerical simulations and results for the susceptible, infected and recovered peoples are carried out by using the Laguerre wavelets. Their behaviour with respect to time is seen to be the key features of this work. Moreover, we have compared the Laguerre wavelet solutions with the ABM solution for the truthfulness and applicability of the Laguerre wavelets scheme.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationMomani, S., Kumar, R., Srivastava, H. M., Kumar, S., & Hadid, S. (2021). A chaos study of fractional SIR epidemic model of childhood diseases. Results in Physics, 27, 1-17. https://doi.org/10.1016/j.rinp.2021.104422.en_US
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2021.104422
dc.identifier.urihttp://hdl.handle.net/1828/13088
dc.language.isoenen_US
dc.publisherResults in Physicsen_US
dc.subjectSIR epidemic model
dc.subjectLaguerre wavelets
dc.subjectOperational matrix
dc.subjectFractional-order differential equations (FDEs)
dc.subjectFractional derivatives
dc.subjectDynamical systems
dc.subjectAdams-Bashforth-Moulton method
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleA chaos study of fractional SIR epidemic model of childhood diseasesen_US
dc.typeArticleen_US

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