Some epidemiological models with delays

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dc.contributor.authorvan den Driessche, P.
dc.date.accessioned2009-09-24T22:45:11Z
dc.date.available2009-09-24T22:45:11Z
dc.date.copyright1994en
dc.date.issued2009-09-24T22:45:11Z
dc.description.abstractDeterministic models for disease transmission often take the form of a system of non-linear, ordinary, differential equations. However, these become more complicated when time delays are used to model mechanisms in the dynamics of epidemics. Some models including delays are surveyed, with latent period, temporary immunity and length of infection as examples of such mechanisms. Threshold parameters are identified, and in some cases periodic solutions are found to arise by Hopf bifurcation. Current investigations include a model for bovine tuberculosis in a constant population cattle herd, and a variable population SIS model.en
dc.description.sponsorshipNSERC Grant A8965en
dc.identifier.urihttp://hdl.handle.net/1828/1767
dc.language.isoenen
dc.relation.ispartofseriesDMS-679-IRen
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleSome epidemiological models with delaysen
dc.typeTechnical Reporten

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