FA-64845 / Epidemic compartment models / Member archive

SIR Euler integrator with daily sampling: transmission scaling · case 05

Outbreak size explodes with population size and susceptibles are exhausted within the first substep.

Member previewVariant 5 · 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: mild outbreak in 1000	`[0.0, 948.797, 1, 997.589]`	`[85.915, 303.71, 39, 810.961]`	Failed

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