The reproductive ratio: at macro and micro levels

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dc.contributor.authorMbogo, Rachel Waema
dc.date.accessioned2021-05-07T09:04:56Z
dc.date.available2021-05-07T09:04:56Z
dc.date.issued2017
dc.descriptionPaper presented at the 4th Strathmore International Mathematics Conference (SIMC 2017), 19 - 23 June 2017, Strathmore University, Nairobi, Kenya.en_US
dc.description.abstractThe basic reproduction ratio, R0, is one of the fundamental concepts in mathematical biology defined as “the average number of secondary infections caused by a single infectious individual during their entire infectious lifetime”, however, “secondary” depends on context For both in vivo and epidemiological models of pathogen dynamics, the basic reproductive ratio, R0, is a powerful tool for gauging the risk associated with an emerging pathogen, or for estimating the magnitude of required control measures. Techniques for estimating R0, either from incidence data or in-host clinical measures, often rely on estimates of mean transition times, that is, the mean time before recovery, death or quarantine occurs. In many cases, however, either data or intuition may provide additional information about the dispersal of these transition times about the mean, even if the precise form of the underlying probability distribution remains unknown. In this paper we elucidate common situations in which R0 is sensitive to the dispersal of transition times about their respective means both at macro and micro levels. We then provide simple correction factors that may be applied to improve estimates of R0 when not only the mean but also the standard deviation of transition times out of the infectious state can be estimated.en_US
dc.identifier.urihttp://hdl.handle.net/11071/10453
dc.language.isoenen_US
dc.publisherStrathmore Universityen_US
dc.subjectReproduction ratioen_US
dc.subjectIn vivo dynamicsen_US
dc.subjectMacro levelen_US
dc.subjectMicro levelen_US
dc.titleThe reproductive ratio: at macro and micro levelsen_US
dc.typeArticleen_US
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