An epidemiological model with a delay and a nonlinear incidence rate

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dc.contributor.authorHethcote, Herbert W.
dc.contributor.authorLewis, Mark A.
dc.contributor.authorvan den Driessche, P.
dc.date.accessioned2009-08-20T16:35:28Z
dc.date.available2009-08-20T16:35:28Z
dc.date.copyright1988en
dc.date.issued2009-08-20T16:35:28Z
dc.description.abstractAn epidemiological model with both a time delay in the removed class and a nonlinear incidence rate is analysed to determine the equilibria and their stability. This model is for diseases where individuals are first susceptible, then infected, then removed with temporary immunity and then susceptible again when they lose their immunity. There are multiple equilibria for some parameter values, and, for certain of these, periodic solutions arise by Hopf bifurcation from the large nontrivial equilibrium state.en
dc.description.sponsorshipCenters for Disease Control Contract 200-87-0515, NSERC Grant A8965en
dc.identifier.urihttp://hdl.handle.net/1828/1547
dc.language.isoenen
dc.relation.ispartofseriesDM-458-IRen
dc.subjectepidemiological model
dc.subjectHopf bifurcation
dc.subjectnonlinear incidence
dc.subjecttime delay
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleAn epidemiological model with a delay and a nonlinear incidence rateen
dc.typeTechnical Reporten

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