FA-65104 / Epidemic compartment models / Member archive
Age-structured force of infection: susceptibility multiplier · case 04
Groups with reduced susceptibility are infected at full rate.
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: empty elderly band | [[0.038, 0.046, 0.014], [3.3558, 4.271, 0.0], 7.6268] | [[0.038, 0.046, 0.021], [3.3558, 4.271, 0.0], 7.6268] | Failed |
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