FA-65639 / Ecological population dynamics / Member archive

Nicholson-Bailey host-parasitoid generations: host equilibrium · case 04

The host equilibrium is understated by a factor lam.

Member previewVariant 4 · 3 implementations · 7 checks per implementation

Case contract

Escape fraction exp(-a*P); H' = lam*H*escape and P' = c*H*(1-escape) computed from the same generation; equilibrium [lam*ln(lam)/((lam-1)*a*c), ln(lam)/a] rounded 4 when lam>1, a>0, c>0 else None; return [equilibrium, trajectory of [H,P] rounded 4].

Why this case matters

Population projections set harvest quotas, conservation status and pest-control timing; a wrong update order, boundary or rate conversion silently changes management advice.

One recorded failure

Sample boundary fixture

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

Boundary fixture	Actual	Expected	Outcome
regression: fecund host	`[[5.0295, 16.0944], [[60.6531, 6.2955], [161.5892, 22.6682], [83.7366, 115.8735], [0.0039, 66.9887]]]`	`[[25.1475, 16.0944], [[60.6531, 6.2955], [161.5892, 22.6682], [83.7366, 115.8735], [0.0039, 66.9887]]]`	Failed

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