FA-65550 / Ecological population dynamics / Member archive
Lotka-Volterra competition outcome: coefficient validation · case 05
Species that do not compete at all are rejected as invalid input.
Case contract
c1=K1*a21-K2, c2=K2*a12-K1; any zero -> neutral; c1>0,c2<0 species1 wins at [K1,0]; c1<0,c2>0 species2 at [0,K2]; otherwise interior N1=(K1-a12K2)/(1-a12a21), N2=(K2-a21K1)/(1-a12a21), coexist if both negative, founder if both positive; None for non-positive K or negative coefficients (zero allowed).
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 fixtureThis sample comes from the broken implementation of a controlled reproducer.
| Boundary fixture | Actual | Expected | Outcome |
|---|---|---|---|
| regression: no competition | null | ["coexist", [70.0, 40.0]] | Failed |
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