FA-65333 / Epidemic compartment models / Member archive

Ross-Macdonald vector-borne R0: generational convention · case 03

The per-generation reproduction number halves R0 instead of taking its square root.

Member previewVariant 3 · 3 implementations · 7 checks per implementation

Case contract

R0 = m*a^2*b*c*exp(-mu*n)/(r*mu) with biting rate a, transmission probabilities b and c, mosquito density ratio m, human recovery r, mosquito death rate mu and extrinsic incubation n days; return [R0, sqrt(R0) generational value, survival exp(-mu*n)] rounded 6; None if a, r or mu is not positive or m is negative.

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: malaria-like	`[82.772874, 41.386437, 0.367879]`	`[82.772874, 9.09796, 0.367879]`	Failed

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