Pair formation and disease dynamics: modeling HIV and HCV among injection drug users in Victoria, BC

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dc.contributor.authorLindquist, Jennifer Frances
dc.contributor.supervisorMa, Junling
dc.date.accessioned2009-12-22T16:54:20Z
dc.date.available2009-12-22T16:54:20Z
dc.date.copyright2009en
dc.date.issued2009-12-22T16:54:20Z
dc.degree.departmentDepartment of Mathematics and Statistics
dc.degree.levelMaster of Science M.Sc.en
dc.description.abstractNew survey data indicate that injection drug users (IDU) in Victoria, BC who share syringes do so with a single person. These partnerships pose an obvious health risk to IDU, as blood borne illnesses are transmitted through the sharing of injection equipment. Here we formulate an ordinary di erential equation (ODE) model of pair formation and separation. Susceptible-infectious (SI) disease dynamics are built into this model so as to describe the syringe-mediated transmission of human immune de ciency virus (HIV) and hepatitis C virus (HCV) among IDU. We utilize a novel parameter estimation approach, and t the distribution of partnership durations observed in Victoria. The basic reproduction number is derived, and its qualitative behavior explored with both analytical and numerical techniques.en
dc.identifier.urihttp://hdl.handle.net/1828/2015
dc.languageEnglisheng
dc.language.isoenen
dc.rightsAvailable to the World Wide Weben
dc.subjectmathematical modelingen
dc.subjectepidemiologyen
dc.subjectpartnership modelen
dc.subjectinfectious disease modelen
dc.subjectinjection drug useen
dc.subject.lcshUVic Subject Index::Sciences and Engineering::Mathematicsen
dc.subject.lcshUVic Subject Index::Sciences and Engineering::Health Sciences::Public healthen
dc.titlePair formation and disease dynamics: modeling HIV and HCV among injection drug users in Victoria, BCen
dc.typeThesisen

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