2008
DOI: 10.1186/1742-4682-5-20
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Extracting key information from historical data to quantify the transmission dynamics of smallpox

Abstract: Background: Quantification of the transmission dynamics of smallpox is crucial for optimizing intervention strategies in the event of a bioterrorist attack. This article reviews basic methods and findings in mathematical and statistical studies of smallpox which estimate key transmission parameters from historical data.

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Cited by 23 publications
(15 citation statements)
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References 90 publications
(97 reference statements)
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“…The aim of this paper is to better understand the conditions under which the inclusion of contact repetition and clustering is relevant in models of disease spread compared to a reference case assuming random mixing. This is pertinent, as many researchers still use the random mixing assumption without thoroughly discussing its adequacy for the respective case study [17][18][19][20][21]. In particular, we test and discuss the influence of transmission probability, number of contacts per day, duration of the infectious period, clustering and proportion of repetitive contacts on the total outbreak size of a disease.…”
Section: Introductionmentioning
confidence: 99%
“…The aim of this paper is to better understand the conditions under which the inclusion of contact repetition and clustering is relevant in models of disease spread compared to a reference case assuming random mixing. This is pertinent, as many researchers still use the random mixing assumption without thoroughly discussing its adequacy for the respective case study [17][18][19][20][21]. In particular, we test and discuss the influence of transmission probability, number of contacts per day, duration of the infectious period, clustering and proportion of repetitive contacts on the total outbreak size of a disease.…”
Section: Introductionmentioning
confidence: 99%
“…In agreement with many other mathematical models, 19 we have assumed a case fatality rate of 30%. However, case fatality has been shown to vary with virulence; for example, given exposure to highly virulent strains that were imported to Europe, Mack and others 20 previously reported that the crude case fatality rate was as high as 52% among unvaccinated individuals.…”
Section: Great Britain Districtsmentioning
confidence: 73%
“…This leads to (1 − q )(1 − v f ) R 0 < 1 (or (1 − q ) R 0 < 1 due to v f = 0). In the absence of intervention, R 0 is crudely assumed to be 5 which is in line with the goal of vaccination coverage during the Intensified Smallpox Eradication Programme without accounting for other interventions [16] and also with the published estimate of 6.85 if accompanied by contact tracing [17,18]. The protective effect of contact tracing, q is arbitrarily assumed as 0.8 due to an assumption of sub-critical process ( i.e.…”
Section: Methodsmentioning
confidence: 99%
“…One should remember that these arbitrarily allocated R 0 and q are very influential in discussing the feasibility of containment (using Equation (3)). Under these assumptions, we vary the combined effect of vaccination, denoted by α s α i α m α d , while we adopt a fixed value of α s at 0.8 given that a historical household data with probably limited vaccine potency indicates that susceptibility is reduced by a factor of 0.69 [16]. Varying the combined effect of vaccination from 0 to 2, we calculate the estimate of the effective reproduction number, the expected total number of cases, the probability of extinction, and the expected duration of an outbreak.…”
Section: Methodsmentioning
confidence: 99%