FA-64982 / Epidemic compartment models / Member archive
SIS endemic equilibrium convergence: subthreshold equilibrium · case 02
Subcritical infections report a negative endemic level and never converge.
Case contract
SIS with susceptibles pop-I; endemic target pop*(1-1/R0) if R0=beta/gamma>1 else 0; iterate daily Euler I += beta*I*(pop-I)/pop - gamma*I until |I-target| <= tol*pop or max_days steps; return [target rounded 4, days taken, I rounded 4] or None for non-positive beta, gamma or pop.
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: subcritical dies out | [-500.0, 200, 0.0] | [0.0, 21, 4.9755] | Failed |
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