The parameter identification problem for SIR epidemic models: identifying unreported cases
- 30 November 2018
- journal article
- research article
- Published by Springer Science and Business Media LLC in Journal of Mathematical Biology
- Vol. 77 (6-7), 1629-1648
- https://doi.org/10.1007/s00285-017-1203-9
Abstract
A SIR epidemic model is analyzed with respect to identification of its parameters, based upon reported case data from public health sources. The objective of the analysis is to understand the relation of unreported cases to reported cases. In many epidemic diseases the ratio of unreported to reported cases is very high, and of major importance in implementing measures for controlling the epidemic. This ratio can be estimated by the identification of parameters for the model from reported case data. The analysis is applied to three examples: (1) the Hong Kong seasonal influenza epidemic in New York City in 1968-1969, (2) the bubonic plague epidemic in Bombay, India in 1906, and (3) the seasonal influenza epidemic in Puerto Rico in 2016-2017.This publication has 40 references indexed in Scilit:
- Birth–death skyline plot reveals temporal changes of epidemic spread in HIV and hepatitis C virus (HCV)Proceedings of the National Academy of Sciences of the United States of America, 2012
- Parameterizing state–space models for infectious disease dynamics by generalized profiling: measles in OntarioJournal of The Royal Society Interface, 2010
- On epidemic modeling in real time: An application to the 2009 Novel A (H1N1) influenza outbreak in CanadaBMC Research Notes, 2010
- Estimates of the Prevalence of Pandemic (H1N1) 2009, United States, April–July 2009Emerging Infectious Diseases, 2009
- Threshold parameters for a model of epidemic spread among households and workplacesJournal of The Royal Society Interface, 2009
- Finding the real case-fatality rate of H5N1 avian influenzaJournal of Epidemiology and Community Health, 2008
- Time Lines of Infection and Disease in Human Influenza: A Review of Volunteer Challenge StudiesAmerican Journal of Epidemiology, 2008
- Estimation of the reproduction number of dengue fever from spatial epidemic dataMathematical Biosciences, 2007
- Seasonal infectious disease epidemiologyProceedings Of The Royal Society B-Biological Sciences, 2006
- Contributions to the mathematical theory of epidemics. III.—Further studies of the problem of endemicityProceedings of the Royal Society of London. Series A, Containing Papers of a Mathematical and Physical Character, 1933