Global Stability Analysis of Sir Epidemic Model with Relapse and Immunity Loss

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dc.contributor.authorAkinyemi, S. T
dc.contributor.authorIbrahim, M. O.
dc.contributor.authorUsman, I. G.
dc.contributor.authorOdetunde, O.
dc.date.accessioned2019-10-31T14:35:06Z
dc.date.available2019-10-31T14:35:06Z
dc.date.issued2016
dc.description.abstractA deterministic mathematical model for the transmission dynamics of infectious disease with immunity loss and relapse was built and analyzed. The model was shown to exhibit two equilibria, namely, a disease free equilibrium and an endemic equilibrium. The computated basic reproductive number (R_0) was used to establish that whenever R_0<1, the disease free equilibrium is locally asymptotically stable and the endemic equilibrium is locally asymptotically stable whenever R_0>1. Furthermore the global stability for the two equilibria was investigated using Lyapunov function. The model was simulated numerically to validate the analytical results.en_US
dc.identifier.citationAkinyemi, S. T., Ibrahim, M. O., Usman, I. G. and Odetunde, O. (2016). Global Stability Analysis of SIR Epidemic Model with Relapse and Immunity Loss. International Journal of Applied Science and Mathematical Theory Vol. 2 No. 1 2016en_US
dc.identifier.urihttp://hdl.handle.net/123456789/3322
dc.language.isoenen_US
dc.publisherInternational Journal of Applied Science and Mathematical Theory ISSN 2489-009X Vol. 2 No.1 2016 www.iiardpub.orgen_US
dc.subjectEpidemic Modelen_US
dc.subjectRelapseen_US
dc.subjectImmunity Lossen_US
dc.subjectEquilibriaen_US
dc.subjectGlobal Stabilityen_US
dc.titleGlobal Stability Analysis of Sir Epidemic Model with Relapse and Immunity Lossen_US
dc.typeArticleen_US

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