Show simple item record

dc.contributor.advisorTavener, Simon
dc.contributor.authorMikucki, Michael A.
dc.contributor.committeememberShipman, Patrick
dc.contributor.committeememberAntolin, Michael
dc.date.accessioned2007-01-03T08:08:57Z
dc.date.available2007-01-03T08:08:57Z
dc.date.issued2012
dc.description2012 Spring.
dc.descriptionIncludes bibliographical references.
dc.description.abstractPerforming forward sensitivity analysis has been an integral component of mathematical modeling, yet its implementation becomes increasingly difficult with a model's complexity. For infectious disease models in particular, the sensitivity analysis of a parameter known as the basic reproduction number, or R0, has dominated the attention of ecology modelers. While the biological definition of R0 is well established, its mathematical construction is elusive. An index with a concrete mathematical definition that in many cases matches the biological interpretation of R0 is presented. A software package called Sensai that automatically computes this index and its sensitivity analysis is also presented. Other "quantities of interest" that provide similar information to R0 can also be implemented in Sensai and their sensitivities computed. Finally, some example models are presented and analyzed using Sensai.
dc.format.mediumborn digital
dc.format.mediummasters theses
dc.identifierMikucki_colostate_0053N_11067.pdf
dc.identifierETDF2012500071MATH
dc.identifier.urihttp://hdl.handle.net/10217/67317
dc.languageEnglish
dc.publisherColorado State University. Libraries
dc.relation.ispartof2000-2019 - CSU Theses and Dissertations
dc.rightsCopyright of the original work is retained by the author.
dc.subjectbasic reproduction number
dc.subjecttransience
dc.subjectsensitivity
dc.subjectSensai
dc.subjectelasticity
dc.titleSensitivity analysis of the basic reproduction number and other quantities for infectious disease models
dc.typeText
dcterms.rights.dplaThe copyright and related rights status of this Item has not been evaluated (https://rightsstatements.org/vocab/CNE/1.0/). Please refer to the organization that has made the Item available for more information.
thesis.degree.disciplineMathematics
thesis.degree.grantorColorado State University
thesis.degree.levelMasters
thesis.degree.nameMaster of Science (M.S.)


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record