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Table 2

Sobol first-order and total-order sensitivity indices for key parameters influencing the controlled reproduction number R0c.

Parameter First-order index (Si) Total-order index (STi) Interpretation
β0 0.48 0.55 Main contributor to the variance of R0c
α2 0.22 0.30 Treatment efficacy; direct effect and moderate interactions
θv 0.15 0.20 Vaccination coverage; significant influence on epidemic control
α1 0.05 0.08 Low direct contribution; limited interactions
σ1 0.03 0.07 Moderate contribution via interactions
σ2 0.02 0.06 Moderate contribution via interactions
Secondary parameters (mortality, etc.) <0.01 <0.02 Negligible

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