## Problem 194 — rank:96

**Title:** Food-web stability

**Added binding assumptions (LaTeX):**

```latex
Since the amplification supremum includes $t=0$, $G_H\geq1$; amplification above one is a local linear, norm-dependent property. It does not alone determine nonlinear basin escape or finite-population survival. State the perturbation distribution, scaling matrix and interval of linear validity, and use full nonlinear trajectories for the separate abundance-threshold event. Structural summaries must be evaluated against models with calibrated interaction-strength uncertainty.
```

**Direct edits:** 0. **Fresh external checks:** None; supplied sources retained as provenance.