Mathematical Transmission of SEIR Epidemic Model with Natural Immunity

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dc.contributor.authorOlopade, Adesola I.
dc.contributor.authorAdesanya, Adelani O.
dc.contributor.authorAkinwumi, Titilayo O.
dc.date.accessioned2021-11-12T15:03:26Z
dc.date.available2021-11-12T15:03:26Z
dc.date.issued2021-09
dc.descriptionStaff Publicationen_US
dc.description.abstractThe SEIR mathematical and epidemiological model with natural immunity and treatment rate are explored in this paper. Both local and global stability were analyzed for disease-free equilibrium point. The threshold quantity “Basic Reproduction Number” ( 0 R ) with natural immunity was derived using next generation matrix method (NGM), and it is shown that the disease free equilibrium point is locally and globally asymptotically stable whenever the basic reproduction number is less than unity i.e. ( R0  1), while endemic whenever ( 1 0 R  ). Numerical simulations show that, strong natural immunity reduces the dynamical spread of epidemic diseases.en_US
dc.identifier.urihttp://repository.elizadeuniversity.edu.ng/handle/20.500.12398/1309
dc.language.isoenen_US
dc.publisherAsian Journal of Pure and Applied Mathematicsen_US
dc.subjectEpidemic;en_US
dc.subjectbasic reproduction number;en_US
dc.subjectstability;en_US
dc.subjectnatural immunity;en_US
dc.subjecttreatmenten_US
dc.titleMathematical Transmission of SEIR Epidemic Model with Natural Immunityen_US
dc.typeArticleen_US
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