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Ball, F.G. and Lyne, O.D. (2000) Epidemics among a Population of Households. In: Castillo-Chavez, C., Blower, S., Driessche, P., Kirschner, D. and Yakubu, A.-A., Eds., Mathematical Approaches for Emerging and Reemerging Infectious Diseases: Models, Methods, and Theory, Springer, Berlin, Vol. 126, 115-125.
https://doi.org/10.1007/978-1-4613-0065-6_7

has been cited by the following article:

• TITLE: Stochastic SIR Household Epidemic Model with Misclassification

  AUTHORS: Umar M. Abdulkarim

  KEYWORDS: Final Size Epidemic, Infectious Period Distribution, Maximum Likelihood Es-timates, Misclassification Probabilities

  JOURNAL NAME: Open Journal of Statistics, Vol.11 No.5, October 28, 2021

  ABSTRACT: In this work, we developed a theoretical framework leading to misclassification of the final size epidemic data for the stochastic SIR (Susceptible-Infective-Removed), household epidemic model, with false negative and false positive misclassification probabilities. Maximum likelihood based algorithm is then employed for its inference. We then analyzed and compared the estimates of the two dimensional model with those of the three and four dimensional models associated with misclassified final size data over arrange of theoretical parameters, local and global infection rates and corresponding proportion infected in the permissible region, away from its boundaries and misclassification probabilities. The adequacies of the three models to the final size data are examined. The four and three-dimensional models are found to outperform the two dimensional model on misclassified final size data.