FA-64857 / Epidemic compartment models / Member archive

SIR Euler integrator with daily sampling: day indexing · case 02

Peak days are reported one day early and the run stops one day short in its own numbering.

Member previewVariant 2 · 3 implementations · 7 checks per implementation

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 fixture

This sample comes from the broken implementation of a controlled reproducer.

Boundary fixture	Actual	Expected	Outcome
regression: overshoot-prone large beta single step	`[0.0, 75.0, 0, 95.312]`	`[0.0, 75.0, 1, 95.312]`	Failed

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