FA-64858 / Epidemic compartment models / Member archive
SIR Euler integrator with daily sampling: day indexing · case 03
Peak days are reported one day early and the run stops one day short in its own numbering.
Case contract
Frequency-dependent SIR integrated with forward Euler at dt=1/substeps; new infections per substep are beta*S*I/pop*dt capped at S; peak prevalence and its day are sampled at day ends (day 0 is the seed); return [S, peak I, peak day, R] rounded to 3 decimals, or None for invalid input.
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: slow recovery long run | [19.331, 965.817, 42, 1829.639] | [19.331, 965.817, 43, 1829.639] | Failed |
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