Analysis of a disease transmission model in a population with varying size

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dc.contributor.authorBusenberg, Stavros
dc.contributor.authorVan den Driessche, P.
dc.date.accessioned2010-05-13T15:54:17Z
dc.date.available2010-05-13T15:54:17Z
dc.date.copyright1989en
dc.date.issued2010-05-13T15:54:17Z
dc.description.abstractAn S->I->R->S epidemiological model with vital dynamics in a population of varying size is discussed. A complete global analysis is given which uses a new result to establish the nonexistence of periodic solutions. Results are discussed in terms of three explicit threshold parameters which respectively govern the increase of the total population, the existence and stability of an endemic proportion equilibrium and the growth of the infective population. These lead to two distinct concepts of disease eradication which involve the total number of infectives and their proportion in the population.en
dc.identifier.urihttp://hdl.handle.net/1828/2761
dc.language.isoenen
dc.relation.ispartofseriesDMS-504-IRen
dc.subjectEpidemiological model
dc.subjectEndemic proportions
dc.subjectGlobal stability
dc.subjectNonexistence of periodic solutions
dc.subjectThresholds
dc.subjectVarying population
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleAnalysis of a disease transmission model in a population with varying sizeen
dc.title.alternativeDisease transmission in varying size populationsen
dc.typeTechnical Reporten

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