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Thesis.pdf (920.58 KB)
ETD Abstract Container
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Staged Progression and Retrogression Model of Influenza
Author Info
Del Negro Skeehan, Willa Rose
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=osu1492725931628927
Abstract Details
Year and Degree
2017, Master of Mathematical Sciences, Ohio State University, Mathematics.
Abstract
There have been many different variations of the susceptible-infected-recovered (SIR) model developed by Kermack and McKendrick (1927). One such variation, the staged progression model presented by Hyman et al. (1999), is often used to model diseases such as HIV/AIDs that progress through multiple stages of infection. The presented model extends the staged progression model to include a retrogression pathway. This allows for the traditional staged progression model to include variable chain lengths. Standard analysis for a disease model is performed and a conjecture for the basic reproduction number is made. As a case study, we study influenza dynamics using the progression-retrogression framework together with data from the HIVE study at the University of Michigan.The parameterization and model fitting found that the retrogression pathway and variable chain length is applicable when modeling influenza.
Committee
Joe Tien (Advisor)
Kurt Stevenson (Committee Member)
Pages
58 p.
Subject Headings
Epidemiology
;
Mathematics
Keywords
staged progression model
;
influenza
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Citations
Del Negro Skeehan, W. R. (2017).
Staged Progression and Retrogression Model of Influenza
[Master's thesis, Ohio State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492725931628927
APA Style (7th edition)
Del Negro Skeehan, Willa.
Staged Progression and Retrogression Model of Influenza.
2017. Ohio State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=osu1492725931628927.
MLA Style (8th edition)
Del Negro Skeehan, Willa. "Staged Progression and Retrogression Model of Influenza." Master's thesis, Ohio State University, 2017. http://rave.ohiolink.edu/etdc/view?acc_num=osu1492725931628927
Chicago Manual of Style (17th edition)
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Document number:
osu1492725931628927
Download Count:
530
Copyright Info
© 2017, all rights reserved.
This open access ETD is published by The Ohio State University and OhioLINK.