The SIR Epidemiology Model in Predicting Herd Immunity

Authors

Joanna Nicho, University of South Florida

Publication Year

2010

Abstract

The Simple Epidemic Model uses three states to describe the spread of an infection: the susceptible (S), the infected (I), and the recovered (R). This model follows the trend of an infection over time and can predict whether an infection will spread. Using this model, epidemiologists may calculate the percentage of the population that needs to be vaccinated in order to provide a population immunity from a disease. This study will compare the vaccination percentage required for herd immunity to measles, mumps, and rubella against the current percentage of vaccinated individuals.

Recommended Citation

Nicho, Joanna (2010) "The SIR Epidemiology Model in Predicting Herd Immunity," American Journal of Pure and Applied Mathematics: Vol. 2: Iss. 2, Article 8.
DOI: http://dx.doi.org/10.5038/2326-3652.2.2.8
Available at: https://digitalcommons.usf.edu/ujmm/vol2/iss2/8

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