
Abstract
Keywords
1. Introduction
2. Methods
2.1. Epidemiological model
Table 1. Epidemiological model parameters for SIV-A.
| Symbol | Description | Baseline value | Range* | Source |
|---|---|---|---|---|
| N | Average number of pigs in a wean-to-finish commercial farm | 2500 | (Cornelison et al., 2018) | |
| R0 | Basic reproduction number | 6 | 2.5–10.66 | (Allerson et al., 2013, Romagosa et al., 2011, Rose et al., 2013) |
| β | Transmission rate (per day) | (Keeling and Rohani, 2007, M May, 1991) | ||
| V | Vaccine efficacy | varied | 60 % – 100 % | (Allerson et al., 2013, Romagosa et al., 2011, Vincent et al., 2010) |
| 1/σ | Latency period (days) | 2 | 1.4–5.0 | (Romagosa et al., 2012, Rose et al., 2013) |
| 1/γ | Infection duration (days) | 5 | 2.4–10.4 | (Romagosa et al., 2012, Rose et al., 2013) |
- *
-
For the uncertainty and sensitivity analysis, we used uniform distributions across parameter range values to account for the impact of parameter variability on the robustness of our model outcomes. The uncertainty analysis provides information on the mean and 95 % confidence interval values of the model outcome.
2.2. Economic Model
2.2.1. Benefit-cost analysis
Table 2. Costs associated with influenza infection in swine from the literature.
| Parameter | Average | Range | Source |
|---|---|---|---|
| Feed penalty | 4.93 kg | 2.3–9.8 kg | (Er et al., 2016, Er et al., 2014, Er, 2024) |
| Feed cost (US$) per kilogram | $0.29 | $0.19 – $0.39 | (Cornelison et al., 2018) |
| Per head cost of raising pigs (US$) | $174.36 | $152.24 – $203.50 | (Estimated Livestock Returns [WWW Document], 2025) |
| Influenza-induced mortality | 2.2 % | 1.5–3.30 % | (Papatsiros et al., 2023, Schaefer et al., 2015) |
| Per-head lost profit (US$) | $12.86 | $3.35-$29.26 | (Estimated Livestock Returns [WWW Document], 2025) |
| Per-head carcass disposal (US$) | $9.07 | $7.34–10.66 | (Estimated Livestock Returns [WWW Document], 2025) |
2.2.2. Cost information
2.2.3. Uncertainty analysis
2.2.4. Sensitivity analysis
2.2.5. Simulation
3. Results
3.1. Epidemiological model
Table 3. Average attack rate and 95 % confidence interval of the stochastic simulations of the epidemiological model.
| Vaccines Efficacy | Mean | 95 % Confidence Interval |
|---|---|---|
| 60 % | 50.69 % | (95 % CI:48.98 %, 52.40 %) |
| 50 % | 31.27 % | (95 % CI: 29.85 %, 32.69 %) |
| 70 % | 4.71 % | (95 % CI: 4.29 %, 5.14 %) |
| 80 % | 0.10 % | (95 % CI: 0.10 %, 0.11 %) |
| 90 % | 0.06 % | (95 % CI: 0.053, 0.057) |
Fig. 1. Median and 95 % confidence interval of the stochastic simulations of the epidemiological model by vaccine efficacy.
3.2. Economic evaluation
Table 4. Net Present Value per pig in USD$ by vaccine efficacy and total cost of vaccination per pig. Values are presented as mean and 95 % Confidence Interval.
| Empty Cell | Total vaccination cost per pig | ||||
|---|---|---|---|---|---|
| Efficacy | $1.34 | $1.68 | $2.02 | $2.36 | $2.70 |
| 60 % | -1.26 (-1.48, −1.04) |
-1.60 (-1.82, −1.38) |
-1.94 (-2.16, −1.72) |
-2.28 (-2.50, −2.06) |
-2.62 (-2.84, −2.40) |
| 70 % | -0.41 (-0.57, −0.25) |
-0.75 (-0.91, –0.59) |
-1.09 (-1.25, −0.93) |
-1.43 (-1.59, −1.27) |
-1.77 (-1.93, −1.61) |
| 80 % | 2.26 (2.15, 2.38) |
1.92 (1.81, 2.04) |
1.58 (1.47, 1.70) |
1.24 (1.13, 1.36) |
0.90 (0.79, 1.02) |
| 90 % | 3.39 (3.38, 3.40) |
3.05 (3.04, 3.06) |
2.71 (2.70, 2.72) |
2.37 (2.36, 2.38) |
2.03 (2.02, 2.04) |
| 95 % | 3.41 (3.40, 3.41) |
3.07 (3.06, 3.07) |
2.73 (2.72, 2.73) |
2.39 (2.38, 2.39) |
2.05 (2.04, 2.05) |
Table 5. Benefit Cost Ratio by vaccine efficacy and total cost of vaccination per pig. Values are presented as mean and 95 % Confidence Interval for the Monte Carlo Simulation.
| Empty Cell | Total vaccination cost per pig | ||||
|---|---|---|---|---|---|
| Efficacy | $1.34 | $1.68 | $2.02 | $2.36 | $2.70 |
| 60 % | 0.069 (0.067, 0.071) |
0.055 (0.053, 0.056) |
0.046 (0.044, 0.047) |
0.039 (0.038, 0.040) |
0.034 (0.033, 0.035) |
| 70 % | 0.800 (0.799, 0.082) |
0.638 (0.637,0.639) |
0.531 (0.530, 0.532) |
0.454 (0.453, 0.455) |
0.397 (0.396, 0.398) |
| 80 % | 3.102 (3.101, 3.103) |
2.474 (2.473, 2.475) |
2.057 (2.056, 2.058) |
1.761 (1.761, 1.762) |
1.539 (1.538, 1.539) |
| 90 % | 4.068 (4.065, 4.071) |
3.247 (3.245, 3.250) |
2.701 (2.699, 2.703) |
2.310 (2.308, 2.311) |
2.020 (2.018, 2.021) |
| 95 % | 4.087 (4.082, 4.092) |
3.257 (3.252, 3.261) |
2.711 (2.708, 2.715) |
2.319 (2.316, 2.322) |
2.028 (2.026, 2.031) |
Fig. 2. A) Percent of Monte Carlo simulations with a BCR greater than 1 by vaccine efficacy and cost of implementing the strategy per pig. B) Average BCR of Monte Carlo simulations by vaccine efficacy and cost of implementing the strategy per pig.
3.3. Sensitivity analysis
Fig. 3. Tornado plot of standardized regression coefficients from a linear model predicting the benefit-cost ratio (BCR) of influenza vaccination in swine relative to the baseline scenario. Each bar represents the relative importance of one input parameter on BCR, controlling for the others.
4. Discussion
Funding
CRediT authorship contribution statement
Declaration of Competing Interest
Data availability
References
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