FA-65097 / Epidemic compartment models / Member archive
Age-structured force of infection: prevalence denominator · case 02
Small age bands receive inflated force of infection from large ones.
Case contract
lambda[a] = beta*susceptibility[a]*sum_b contacts[a][b]*infected[b]/sizes[b] (groups with zero size skipped); expected new infections susceptible[a]*(1-exp(-lambda[a])); return [lambdas rounded 6, new infections rounded 4, total rounded 4].
Why this case matters
Compartmental epidemic calculations drive outbreak forecasts, vaccine targets and hospital planning; a single wrong flow, rate conversion or boundary silently changes every downstream number.
One recorded failure
Sample boundary fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: three age bands | [[0.02825, 0.01448, 0.0114], [5.0138, 6.4691, 3.2872], 14.7701] | [[0.019, 0.0166, 0.0087], [3.3877, 7.4083, 2.5121], 13.3081] | Failed |
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