An SEIR model with infected immigrants and recovered emigrants

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dc.contributor.authorWitbooi, Peter J.
dc.date.accessioned2021-10-08T08:49:34Z
dc.date.available2021-10-08T08:49:34Z
dc.date.issued2021
dc.description.abstractWe present a deterministic SEIR model of the said form. The population in point can be considered as consisting of a local population together with a migrant subpopulation. The migrants come into the local population for a short stay. In particular, the model allows for a constant inflow of individuals into different classes and a constant outflow of individuals from the R-class. The system of ordinary differential equations has positive solutions and the infected classes remain above specified threshold levels. The equilibrium points are shown to be asymptotically stable. The utility of the model is demonstrated by way of an application to measles. © 2021, The Author(s).en_US
dc.identifier.citationWitbooi, Peter J. 2021. An SEIR model with infected immigrants and recovered emigrants, in Advances in Difference Equations, issue 1, 2021, Article number 337. DOI :10.1186/s13662-021-03488.en_US
dc.identifier.issn16871839
dc.identifier.uri10.1186/s13662-021-03488-5
dc.identifier.urihttp://hdl.handle.net/10566/6872
dc.language.isoenen_US
dc.publisherSpringer Science and Business Media Deutschland GmbHen_US
dc.subjectBasic reproduction numberen_US
dc.subjectImported infectionen_US
dc.subjectMeaslesen_US
dc.subjectRecovered immigranten_US
dc.subjectStable equilibriumen_US
dc.subjectSEIR modelen_US
dc.subjectInfectionen_US
dc.subjectInfecteden_US
dc.subjectImmigrantsen_US
dc.subjectMigrant subpopulationen_US
dc.subjectDifferential equationsen_US
dc.subjectEpidemic Modelen_US
dc.subjectNonlinear Incidence Rateen_US
dc.subjectGlobally Asymptotically Stableen_US
dc.titleAn SEIR model with infected immigrants and recovered emigrantsen_US
dc.typeArticleen_US

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