| Literature DB >> 23879801 |
Yanyu Xiao1, Zeenat Patel, Adam Fiddler, Lilian Yuan, Marie-Elaine Delvin, David N Fisman.
Abstract
BACKGROUND: The 2009 influenza A (H1N1) pandemic was mild by historical standards, but was more severe in isolated Canadian Indigenous communities. Oseltamivir was used aggressively for outbreak control in an isolated northern Ontario First Nations community. We used mathematical modeling to quantify the impact of antiviral therapy on the course of this outbreak.Entities:
Keywords: Epidemiology; Indigenous health; influenza; mathematical modeling; oseltamivir
Mesh:
Substances:
Year: 2013 PMID: 23879801 PMCID: PMC4634281 DOI: 10.1111/irv.12141
Source DB: PubMed Journal: Influenza Other Respir Viruses ISSN: 1750-2640 Impact factor: 4.380
Figure 1Demographic characteristics of 16 initial virologically confirmed cases of influenza A (H1N1)‐2009 in Sandy Lake.
Figure 2Epidemic curves for influenza A (H1N1)‐2009 outbreak in Sandy Lake. Epidemic curves from June 1 to June 21, 2009. Solid curve denotes epidemic curve for all healthcare visits related to influenza‐like illness; dashed curve represents visits meeting case definition for respiratory symptoms possibly compatible with influenza. The first vertical line denotes implementation of social distancing measures, while the second denotes actual implementation of aggressive antiviral treatment.
Figure 3Actual and model‐predicted cumulative case counts by day of outbreak. Data are represented by hollow circles; model projections are denoted by solid curves (for large‐scale least squares, L‐S) or diamonds (Levenberg–Marquardt (L‐M). Models fit well for time series restricted to individuals meeting influenza‐like illness case definition (see text) (A) and for all individuals with symptomatology suggestive of possible influenza (B).
Estimates of parameters for Richards model based on all healthcare visits for respiratory symptoms
| End date 2009‐6‐21 | Growth rate ( | Exponent of deviation ( | Turning point (days) | Maximum case number |
|---|---|---|---|---|
| L‐M method | 1·3805 | 3·7640 | 14·1244 | 349·9858 |
| L‐S method | 1·3809 (0·4629, 2·2990) | 3·7656 (0·6699, 6·8614) | 14·1247 (13·4461, 14·8034) | 349·9840 (337·5509, 362·4171) |
Bracketed numbers represent 95% confidence limits; L‐M, Levenberg–Marquardt method; L‐S, large‐scale least squares method. Based on time series from June 1 to June 21, 2009.
Estimates of parameters for Richards model based on influenza‐like illness counts in Sandy Lake
| End date 2009‐6‐21 | Growth rate ( | Exponent of deviation ( | Turning point (days) | Maximum case number |
|---|---|---|---|---|
| L‐M method | 0·9195 | 2·4114 | 13·8513 | 175·3128 |
| L‐S method | 0·9201 (0·4274, 1·4128) | 2·4134 (0·5647, 4·2621) | 13·8521 (13·1430, 14·5612) | 175·3093 (167·6665, 182·9521) |
Bracketed numbers represent 95% confidence limits; L‐M, Levenberg–Marquardt method; L‐S, large‐scale least squares method. Based on time series from June 1 to June 21, 2009.
Figure 4Compartmental model fits to Sandy Lake outbreak data. Ranges of model‐projected cumulative case counts by date (dashed lines) plotted against observed case counts for influenza‐like illness (black) and respiratory illness (gray). The blue vertical line denotes initiation of social distancing measures; the red vertical line denotes implementation of aggressive antiviral drug therapy.
Efficacy estimates for antiviral drugs and social distancing, and estimates of basic reproductive number (R 0) derived from Best‐Fit SEIR models
| Parameter estimates (Median, range) | Models fit to influenza‐like illness time series | Models fit to respiratory illness time series |
|---|---|---|
| Antiviral efficacy | 0·79 (0·72–0·89) | 0·92 (0·86–0·95) |
| Social distancing efficacy | 0·44 (0·17–0·47) | 0·11 (0·02–0·27) |
| Basic reproductive number ( | 11·04 (10·07–11·43) | 11·92 (11·61–12·52) |
Figure 5Model‐based estimates of reproductive numbers plotted against generation times. Estimates generated using Richards models are plotted as solid lines with 95% confidence limits (dashed lines). Red lines represent late‐scale least squares fit models for all respiratory symptoms; blue lines are based on cases meeting case definition for influenza‐like illness (blue curves). Mean basic reproductive number estimates generated using compartmental SEIR models are presented as hollow triangle (respiratory visits) or hollow square (influenza‐like illness). The estimated reproductive number and from southern Ontario, derived from Tuite et al.,1 is shown as a hollow circle. Note that reproductive numbers are plotted on a natural log scale.