Analysis of a stochastic SICR epidemic model associated with the Lévy jump

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dc.contributor.authorSrivastava, H.M.
dc.contributor.authorDanane, Jaouad
dc.date.accessioned2022-11-13T14:34:01Z
dc.date.available2022-11-13T14:34:01Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractWe propose and study a Susceptible-Infected-Confined-Recovered (SICR) epidemic model. For the proposed model, the driving forces include (for example) the Brownian motion processes and the jump Lévy noise. Usually, in the existing literature involving epidemiology models, the Lévy noise perturbations are ignored. However, in view of the presence of strong fluctuations in the SICR dynamics, it is worth including these perturbations in SICR epidemic models. Quite frequently, this results in several discontinuities in the processes under investigation. In our present study, we consider our SICR model after justifying its used form, namely, the component related to the Lévy noise. The existence and uniqueness of a global positive solution is established. Under some assumptions, we show the extinction and the persistence of the infection. In order to give some numerical simulations, we illustrate a new numerical method to validate our theoretical findings.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationSrivastava, H. M. & Danane, J. (2022). “Analysis of a stochastic SICR epidemic model associated with the Lévy jump.” Applied Sciences, 12(17), 8434. https://doi.org/10.3390/app12178434en_US
dc.identifier.urihttps://doi.org/10.3390/app12178434
dc.identifier.urihttp://hdl.handle.net/1828/14455
dc.language.isoenen_US
dc.publisherApplied Sciencesen_US
dc.subjectSusceptible-Infected-Confined-Recovered (SICR) epidemic model
dc.subjectLévy jump
dc.subjectstochastic model
dc.subjectBrownian motion
dc.subjectextinction
dc.subjectpersistence
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleAnalysis of a stochastic SICR epidemic model associated with the Lévy jumpen_US
dc.typeArticleen_US

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