Please use this identifier to cite or link to this item: http://hdl.handle.net/2440/116603
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Type: Journal article
Title: Estimating the basic reproductive number during the early stages of an emerging epidemic
Author: Rebuli, N.
Bean, N.
Ross, J.
Citation: Theoretical Population Biology, 2018; 119:26-36
Publisher: Elsevier
Issue Date: 2018
ISSN: 0040-5809
1096-0325
Statement of
Responsibility: 
Nicolas P. Rebuli, N.G. Bean, J.V. Ross
Abstract: A novel outbreak will generally not be detected until such a time that it has become established. When such an outbreak is detected, public health officials must determine the potential of the outbreak, for which the basic reproductive numberR₀ is an important factor. However, it is often the case that the resulting estimate of R₀ is positively-biased for a number of reasons. One commonly overlooked reason is that the outbreak was not detected until such a time that it had become established, and therefore did not experience initial fade out. We propose a method which accounts for this bias by conditioning the underlying epidemic model on becoming established and demonstrate that this approach leads to a less-biased estimate of R₀ during the early stages of an outbreak. We also present a computationally-efficient approximation scheme which is suitable for large data sets in which the number of notified cases is large. This methodology is applied to an outbreak of pandemic influenza in Western Australia, recorded in 2009.
Keywords: Basic reproductive number; continuous-time Markov chain; hybrid discrete-continuous
Rights: © 2017 Elsevier Inc. All rights reserved.
RMID: 0030077218
DOI: 10.1016/j.tpb.2017.10.004
Appears in Collections:Mathematical Sciences publications

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