Stability of an SEIR epidemic model with indepenent stochastic perturbations

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dc.contributor.authorWitbooi, Peter J.
dc.date.accessioned2017-10-13T09:38:32Z
dc.date.available2017-10-13T09:38:32Z
dc.date.issued2013
dc.description.abstractFor an epidemic model of the type mentioned, we prove a theorem on almost sure exponential stability of the disease-free equilibrium. For small values of the diffusion parameter, σ, we describe the stability of the disease free equilibrium point in terms of an appropriate analogue, Rσ , of the basic reproduction number R0 of the deterministic special case. Whenever σ > 0 then Rσ < R0. For small values of σ, the stability theorem guarantees almost sure exponential stability whenever Rσ < 1. We also discuss the effect of increasing σ.en_US
dc.description.accreditationWeb of Science
dc.identifier.citationWitbooi, P. J. (2013). Stability of an SEIR epidemic model with independent stochastic perturbations. Physica A, 392(20): 4928–4936en_US
dc.identifier.issn0378-4371
dc.identifier.urihttp://dx.doi.org/10.1016/j.physa.2013.06.025
dc.identifier.urihttp://hdl.handle.net/10566/3234
dc.language.isoenen_US
dc.privacy.showsubmitterFALSE
dc.publisherElsevieren_US
dc.rightsThis is the author-version of the article published on: http://dx.doi.org/10.1016/j.physa.2013.06.025
dc.status.ispeerreviewedTRUE
dc.subjectSEIRen_US
dc.subjectepidemicen_US
dc.subjectmodelen_US
dc.subjectstochastic perturbationsen_US
dc.titleStability of an SEIR epidemic model with indepenent stochastic perturbationsen_US
dc.typeArticleen_US

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