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The structural identifiability of SIR type epidemic models with incomplete immunity and birth target
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Chapman, James D. and Evans, N. D. (2009) The structural identifiability of SIR type epidemic models with incomplete immunity and birth target. In: 17th International Federation of Automatic Control World Congress (IFAC), Seoul, Republic of Korea, Jul 6-11, 2008. Published in: Proceedings of the 17th IFAC World Congress, 2008, Vol.17 (Part 1). pp. 9075-9080.
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Official URL: http://dx.doi.org/10.3182/20080706-5-KR-1001.01532
Abstract
This paper considers the implications of a structural identifiability analysis on a series of fundamental three-compartment epidemic model structures, derived around the general SIR (Susceptible-Infective-Recovered) framework. The models represent various forms of incomplete immunity acquired through natural infection, or from administration of a birth targeted vaccination programme. It is shown that the addition of a vaccination campaign has a negative effect on the structural identifiability of all considered models. In particular, the actual proportion of vaccination coverage achieved, an essential parameter, cannot be uniquely estimated from even ideal prevalence data.
| Item Type: | Conference Item (Paper) |
|---|---|
| Subjects: | R Medicine > R Medicine (General) T Technology > TA Engineering (General). Civil engineering (General) |
| Divisions: | Faculty of Science > Engineering |
| Journal or Publication Title: | Proceedings of the 17th IFAC World Congress, 2008 |
| Publisher: | International Federation of Automatic Control |
| ISSN: | 1474-6670 |
| Book Title: | Proceedings of the 17th IFAC World Congress, 2008 |
| Date: | August 2009 |
| Volume: | Vol.17 |
| Number: | Part 1 |
| Page Range: | pp. 9075-9080 |
| Identification Number: | 10.3182/20080706-5-KR-1001.01532 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| Conference Paper Type: | Paper |
| Title of Event: | 17th International Federation of Automatic Control World Congress (IFAC) |
| Type of Event: | Conference |
| Location of Event: | Seoul, Republic of Korea |
| Date(s) of Event: | Jul 6-11, 2008 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/45961 |
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